YES 148.593 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/FiniteMap.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:



↳ HASKELL
  ↳ LR

mainModule FiniteMap
  ((intersectFM_C :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b) :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM fm key elt = addToFM_C (\old new ->new) fm key elt

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l
deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r
deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt _ _ EmptyFM) = (key,elt)
findMax (Branch key elt _ _ fm_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
findMin (Branch key elt _ EmptyFM _) = (key,elt)
findMin (Branch key elt _ fm_l _) = findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm

  foldFM :: (c  ->  a  ->  b  ->  b)  ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2 
 | sizeFM fm2 > sizeFM fm1 = 
mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise = 
mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where 
mid_elt1 = (\(_,mid_elt1) ->mid_elt1) vv2
mid_elt2 = (\(_,mid_elt2) ->mid_elt2) vv3
mid_key1 = (\(mid_key1,_) ->mid_key1) vv2
mid_key2 = (\(mid_key2,_) ->mid_key2) vv3
vv2 = findMax fm1
vv3 = findMin fm2

  glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
 | otherwise = 
glueBal fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  intersectFM_C :: Ord d => (c  ->  b  ->  a)  ->  FiniteMap d c  ->  FiniteMap d b  ->  FiniteMap d a
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 _ left right) 
 | Maybe.isJust maybe_elt1 = 
mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise = 
glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right) where 
elt1 = (\(Just elt1) ->elt1) vv1
gts = splitGT fm1 split_key
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  lookupFM :: Ord a => FiniteMap a b  ->  a  ->  Maybe b
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt _ fm_l fm_r) key_to_find 
 | key_to_find < key = 
lookupFM fm_l key_to_find
 | key_to_find > key = 
lookupFM fm_r key_to_find
 | otherwise = 
Just elt

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
case fm_R of
  Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr -> 
single_L fm_L fm_R
 | otherwise -> 
double_L fm_L fm_R
 | size_l > sIZE_RATIO * size_r = 
case fm_L of
  Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll -> 
single_R fm_L fm_R
 | otherwise -> 
double_R fm_L fm_R
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = 
case fm_l of
  EmptyFM-> True
  Branch left_key _ _ _ _-> 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = 
case fm_r of
  EmptyFM-> True
  Branch right_key _ _ _ _-> 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
 | otherwise = 
mkBranch 13 key elt fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch _ _ size _ _) = size

  splitGT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt _ fm_l fm_r) split_key 
 | split_key > key = 
splitGT fm_r split_key
 | split_key < key = 
mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise = 
fm_r

  splitLT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt _ fm_l fm_r) split_key 
 | split_key < key = 
splitLT fm_l split_key
 | split_key > key = 
mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise = 
fm_l

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust _ = True



Lambda Reductions:
The following Lambda expression
\(mid_key1,_)→mid_key1

is transformed to
mid_key10 (mid_key1,_) = mid_key1

The following Lambda expression
\(_,mid_elt1)→mid_elt1

is transformed to
mid_elt10 (_,mid_elt1) = mid_elt1

The following Lambda expression
\(mid_key2,_)→mid_key2

is transformed to
mid_key20 (mid_key2,_) = mid_key2

The following Lambda expression
\(_,mid_elt2)→mid_elt2

is transformed to
mid_elt20 (_,mid_elt2) = mid_elt2

The following Lambda expression
\(Just elt1)→elt1

is transformed to
elt10 (Just elt1) = elt1

The following Lambda expression
\keyeltrest→(key,elt) : rest

is transformed to
fmToList0 key elt rest = (key,elt) : rest

The following Lambda expression
\oldnew→new

is transformed to
addToFM0 old new = new



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR

mainModule FiniteMap
  ((intersectFM_C :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b) :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l
deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r
deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt _ _ EmptyFM) = (key,elt)
findMax (Branch key elt _ _ fm_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
findMin (Branch key elt _ EmptyFM _) = (key,elt)
findMin (Branch key elt _ fm_l _) = findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (c  ->  a  ->  b  ->  b)  ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2 
 | sizeFM fm2 > sizeFM fm1 = 
mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise = 
mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where 
mid_elt1 = mid_elt10 vv2
mid_elt10 (_,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (_,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,_) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,_) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  glueVBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
 | otherwise = 
glueBal fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  intersectFM_C :: Ord c => (b  ->  d  ->  a)  ->  FiniteMap c b  ->  FiniteMap c d  ->  FiniteMap c a
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 _ left right) 
 | Maybe.isJust maybe_elt1 = 
mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise = 
glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right) where 
elt1 = elt10 vv1
elt10 (Just elt1) = elt1
gts = splitGT fm1 split_key
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  lookupFM :: Ord b => FiniteMap b a  ->  b  ->  Maybe a
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt _ fm_l fm_r) key_to_find 
 | key_to_find < key = 
lookupFM fm_l key_to_find
 | key_to_find > key = 
lookupFM fm_r key_to_find
 | otherwise = 
Just elt

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
case fm_R of
  Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr -> 
single_L fm_L fm_R
 | otherwise -> 
double_L fm_L fm_R
 | size_l > sIZE_RATIO * size_r = 
case fm_L of
  Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll -> 
single_R fm_L fm_R
 | otherwise -> 
double_R fm_L fm_R
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = 
case fm_l of
  EmptyFM-> True
  Branch left_key _ _ _ _-> 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = 
case fm_r of
  EmptyFM-> True
  Branch right_key _ _ _ _-> 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
 | otherwise = 
mkBranch 13 key elt fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch _ _ size _ _) = size

  splitGT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt _ fm_l fm_r) split_key 
 | split_key > key = 
splitGT fm_r split_key
 | split_key < key = 
mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise = 
fm_r

  splitLT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt _ fm_l fm_r) split_key 
 | split_key < key = 
splitLT fm_l split_key
 | split_key > key = 
mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise = 
fm_l

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust _ = True



Case Reductions:
The following Case expression
case fm_l of
 EmptyFM → True
 Branch left_key _ _ _ _ → 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

is transformed to
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key _ _ _ _) = 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

The following Case expression
case fm_r of
 EmptyFM → True
 Branch right_key _ _ _ _ → 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

is transformed to
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key _ _ _ _) = 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

The following Case expression
case fm_R of
 Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 → single_L fm_L fm_R
 | otherwise
 → double_L fm_L fm_R

is transformed to
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R

The following Case expression
case fm_L of
 Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 → single_R fm_L fm_R
 | otherwise
 → double_R fm_L fm_R

is transformed to
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R

The following Case expression
case compare x y of
 EQ → o
 LT → LT
 GT → GT

is transformed to
primCompAux0 o EQ = o
primCompAux0 o LT = LT
primCompAux0 o GT = GT



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR

mainModule FiniteMap
  ((intersectFM_C :: (b  ->  c  ->  a)  ->  FiniteMap Bool b  ->  FiniteMap Bool c  ->  FiniteMap Bool a) :: (b  ->  c  ->  a)  ->  FiniteMap Bool b  ->  FiniteMap Bool c  ->  FiniteMap Bool a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) 
  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord b => FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l
deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r
deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap b a
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt _ _ EmptyFM) = (key,elt)
findMax (Branch key elt _ _ fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) = (key,elt)
findMin (Branch key elt _ fm_l _) = findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (c  ->  b  ->  a  ->  a)  ->  a  ->  FiniteMap c b  ->  a
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2 
 | sizeFM fm2 > sizeFM fm1 = 
mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise = 
mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where 
mid_elt1 = mid_elt10 vv2
mid_elt10 (_,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (_,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,_) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,_) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
 | otherwise = 
glueBal fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  intersectFM_C :: Ord b => (a  ->  c  ->  d)  ->  FiniteMap b a  ->  FiniteMap b c  ->  FiniteMap b d
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 _ left right) 
 | Maybe.isJust maybe_elt1 = 
mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise = 
glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right) where 
elt1 = elt10 vv1
elt10 (Just elt1) = elt1
gts = splitGT fm1 split_key
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  lookupFM :: Ord b => FiniteMap b a  ->  b  ->  Maybe a
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt _ fm_l fm_r) key_to_find 
 | key_to_find < key = 
lookupFM fm_l key_to_find
 | key_to_find > key = 
lookupFM fm_r key_to_find
 | otherwise = 
Just elt

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr) 
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr) 
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key _ _ _ _) = 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key _ _ _ _) = 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
 | otherwise = 
mkBranch 13 key elt fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch _ _ size _ _) = size

  splitGT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt _ fm_l fm_r) split_key 
 | split_key > key = 
splitGT fm_r split_key
 | split_key < key = 
mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise = 
fm_r

  splitLT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt _ fm_l fm_r) split_key 
 | split_key < key = 
splitLT fm_l split_key
 | split_key > key = 
mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise = 
fm_l

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust _ = True



If Reductions:
The following If expression
if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero

is transformed to
primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y))
primDivNatS0 x y False = Zero

The following If expression
if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x

is transformed to
primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y)
primModNatS0 x y False = Succ x



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR

mainModule FiniteMap
  ((intersectFM_C :: (c  ->  b  ->  a)  ->  FiniteMap Bool c  ->  FiniteMap Bool b  ->  FiniteMap Bool a) :: (c  ->  b  ->  a)  ->  FiniteMap Bool c  ->  FiniteMap Bool b  ->  FiniteMap Bool a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l
deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r
deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap b a
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt _ _ EmptyFM) = (key,elt)
findMax (Branch key elt _ _ fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) = (key,elt)
findMin (Branch key elt _ fm_l _) = findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (b  ->  c  ->  a  ->  a)  ->  a  ->  FiniteMap b c  ->  a
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2 
 | sizeFM fm2 > sizeFM fm1 = 
mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise = 
mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where 
mid_elt1 = mid_elt10 vv2
mid_elt10 (_,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (_,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,_) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,_) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
 | otherwise = 
glueBal fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  intersectFM_C :: Ord d => (b  ->  c  ->  a)  ->  FiniteMap d b  ->  FiniteMap d c  ->  FiniteMap d a
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 _ left right) 
 | Maybe.isJust maybe_elt1 = 
mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise = 
glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right) where 
elt1 = elt10 vv1
elt10 (Just elt1) = elt1
gts = splitGT fm1 split_key
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  lookupFM :: Ord b => FiniteMap b a  ->  b  ->  Maybe a
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt _ fm_l fm_r) key_to_find 
 | key_to_find < key = 
lookupFM fm_l key_to_find
 | key_to_find > key = 
lookupFM fm_r key_to_find
 | otherwise = 
Just elt

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr) 
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr) 
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key _ _ _ _) = 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key _ _ _ _) = 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
 | otherwise = 
mkBranch 13 key elt fm_l fm_r where 
size_l = sizeFM fm_l
size_r = sizeFM fm_r

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch _ _ size _ _) = size

  splitGT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt _ fm_l fm_r) split_key 
 | split_key > key = 
splitGT fm_r split_key
 | split_key < key = 
mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise = 
fm_r

  splitLT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt _ fm_l fm_r) split_key 
 | split_key < key = 
splitLT fm_l split_key
 | split_key > key = 
mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise = 
fm_l

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust _ = True



Replaced joker patterns by fresh variables and removed binding patterns.
Binding Reductions:
The bind variable of the following binding Pattern
fm_l@(Branch yy yz zu zv zw)

is replaced by the following term
Branch yy yz zu zv zw

The bind variable of the following binding Pattern
fm_r@(Branch zy zz vuu vuv vuw)

is replaced by the following term
Branch zy zz vuu vuv vuw

The bind variable of the following binding Pattern
fm_l@(Branch vuy vuz vvu vvv vvw)

is replaced by the following term
Branch vuy vuz vvu vvv vvw

The bind variable of the following binding Pattern
fm_r@(Branch vvy vvz vwu vwv vww)

is replaced by the following term
Branch vvy vvz vwu vwv vww



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR

mainModule FiniteMap
  ((intersectFM_C :: (c  ->  a  ->  b)  ->  FiniteMap Bool c  ->  FiniteMap Bool a  ->  FiniteMap Bool b) :: (c  ->  a  ->  b)  ->  FiniteMap Bool c  ->  FiniteMap Bool a  ->  FiniteMap Bool b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord a => (b  ->  b  ->  b)  ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt vwx fm_l EmptyFM) = fm_l
deleteMax (Branch key elt vwy fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMin (Branch key elt wuw EmptyFM fm_r) = fm_r
deleteMin (Branch key elt wux fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap b a
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt vyz vzu EmptyFM) = (key,elt)
findMax (Branch key elt vzv vzw fm_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (c  ->  a  ->  b  ->  b)  ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt wy fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2 
 | sizeFM fm2 > sizeFM fm1 = 
mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise = 
mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where 
mid_elt1 = mid_elt10 vv2
mid_elt10 (vzx,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (vzy,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,vzz) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,wuu) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
 | otherwise = 
glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) where 
size_l = sizeFM (Branch yy yz zu zv zw)
size_r = sizeFM (Branch zy zz vuu vuv vuw)

  intersectFM_C :: Ord b => (a  ->  c  ->  d)  ->  FiniteMap b a  ->  FiniteMap b c  ->  FiniteMap b d
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right) 
 | Maybe.isJust maybe_elt1 = 
mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise = 
glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right) where 
elt1 = elt10 vv1
elt10 (Just elt1) = elt1
gts = splitGT fm1 split_key
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  lookupFM :: Ord b => FiniteMap b a  ->  b  ->  Maybe a
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find 
 | key_to_find < key = 
lookupFM fm_l key_to_find
 | key_to_find > key = 
lookupFM fm_r key_to_find
 | otherwise = 
Just elt

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) 
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) 
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key vw vx vy vz) = 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key wu wv ww wx) = 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) 
 | sIZE_RATIO * size_l < size_r = 
mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
 | sIZE_RATIO * size_r < size_l = 
mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
 | otherwise = 
mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) where 
size_l = sizeFM (Branch vuy vuz vvu vvv vvw)
size_r = sizeFM (Branch vvy vvz vwu vwv vww)

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch xz yu size yv yw) = size

  splitGT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt xy fm_l fm_r) split_key 
 | split_key > key = 
splitGT fm_r split_key
 | split_key < key = 
mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise = 
fm_r

  splitLT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt xx fm_l fm_r) split_key 
 | split_key < key = 
splitLT fm_l split_key
 | split_key > key = 
mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise = 
fm_l

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust wuz = True



Cond Reductions:
The following Function with conditions
splitLT EmptyFM split_key = emptyFM
splitLT (Branch key elt xx fm_l fm_r) split_key
 | split_key < key
 = splitLT fm_l split_key
 | split_key > key
 = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
 | otherwise
 = fm_l

is transformed to
splitLT EmptyFM split_key = splitLT4 EmptyFM split_key
splitLT (Branch key elt xx fm_l fm_r) split_key = splitLT3 (Branch key elt xx fm_l fm_r) split_key

splitLT0 key elt xx fm_l fm_r split_key True = fm_l

splitLT1 key elt xx fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
splitLT1 key elt xx fm_l fm_r split_key False = splitLT0 key elt xx fm_l fm_r split_key otherwise

splitLT2 key elt xx fm_l fm_r split_key True = splitLT fm_l split_key
splitLT2 key elt xx fm_l fm_r split_key False = splitLT1 key elt xx fm_l fm_r split_key (split_key > key)

splitLT3 (Branch key elt xx fm_l fm_r) split_key = splitLT2 key elt xx fm_l fm_r split_key (split_key < key)

splitLT4 EmptyFM split_key = emptyFM
splitLT4 wzz xuu = splitLT3 wzz xuu

The following Function with conditions
splitGT EmptyFM split_key = emptyFM
splitGT (Branch key elt xy fm_l fm_r) split_key
 | split_key > key
 = splitGT fm_r split_key
 | split_key < key
 = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
 | otherwise
 = fm_r

is transformed to
splitGT EmptyFM split_key = splitGT4 EmptyFM split_key
splitGT (Branch key elt xy fm_l fm_r) split_key = splitGT3 (Branch key elt xy fm_l fm_r) split_key

splitGT2 key elt xy fm_l fm_r split_key True = splitGT fm_r split_key
splitGT2 key elt xy fm_l fm_r split_key False = splitGT1 key elt xy fm_l fm_r split_key (split_key < key)

splitGT0 key elt xy fm_l fm_r split_key True = fm_r

splitGT1 key elt xy fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
splitGT1 key elt xy fm_l fm_r split_key False = splitGT0 key elt xy fm_l fm_r split_key otherwise

splitGT3 (Branch key elt xy fm_l fm_r) split_key = splitGT2 key elt xy fm_l fm_r split_key (split_key > key)

splitGT4 EmptyFM split_key = emptyFM
splitGT4 xux xuy = splitGT3 xux xuy

The following Function with conditions
glueVBal EmptyFM fm2 = fm2
glueVBal fm1 EmptyFM = fm1
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)
 | sIZE_RATIO * size_l < size_r
 = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
 | sIZE_RATIO * size_r < size_l
 = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
 | otherwise
 = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)
where 
size_l  = sizeFM (Branch yy yz zu zv zw)
size_r  = sizeFM (Branch zy zz vuu vuv vuw)

is transformed to
glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2
glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = 
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_l < size_r)
where 
glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw otherwise
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_r < size_l)
size_l  = sizeFM (Branch yy yz zu zv zw)
size_r  = sizeFM (Branch zy zz vuu vuv vuw)

glueVBal4 fm1 EmptyFM = fm1
glueVBal4 xvw xvx = glueVBal3 xvw xvx

glueVBal5 EmptyFM fm2 = fm2
glueVBal5 xvz xwu = glueVBal4 xvz xwu

The following Function with conditions
mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)
 | sIZE_RATIO * size_l < size_r
 = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
 | sIZE_RATIO * size_r < size_l
 = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
 | otherwise
 = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)
where 
size_l  = sizeFM (Branch vuy vuz vvu vvv vvw)
size_r  = sizeFM (Branch vvy vvz vwu vwv vww)

is transformed to
mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r
mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = 
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_l < size_r)
where 
mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_r < size_l)
size_l  = sizeFM (Branch vuy vuz vvu vvv vvw)
size_r  = sizeFM (Branch vvy vvz vwu vwv vww)

mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch4 xwy xwz xxu xxv = mkVBalBranch3 xwy xwz xxu xxv

mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch5 xxx xxy xxz xyu = mkVBalBranch4 xxx xxy xxz xyu

The following Function with conditions
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R

is transformed to
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)

mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise

mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = double_R fm_L fm_R

mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

The following Function with conditions
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R

is transformed to
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)

mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = double_L fm_L fm_R

mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise

mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

The following Function with conditions
mkBalBranch key elt fm_L fm_R
 | size_l + size_r < 2
 = mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l
 = mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r
 = mkBalBranch1 fm_L fm_R fm_L
 | otherwise
 = mkBranch 2 key elt fm_L fm_R
where 
double_L fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

is transformed to
mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R

mkBalBranch6 key elt fm_L fm_R = 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2)
where 
double_L fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

The following Function with conditions
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt
 | new_key < key
 = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key
 = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise
 = Branch new_key (combiner elt new_elt) size fm_l fm_r

is transformed to
addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r

addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 xyz xzu xzv xzw = addToFM_C3 xyz xzu xzv xzw

The following Function with conditions
glueBal EmptyFM fm2 = fm2
glueBal fm1 EmptyFM = fm1
glueBal fm1 fm2
 | sizeFM fm2 > sizeFM fm1
 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
 | otherwise
 = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2
where 
mid_elt1  = mid_elt10 vv2
mid_elt10 (vzx,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vzy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vzz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,wuu) = mid_key2
vv2  = findMax fm1
vv3  = findMin fm2

is transformed to
glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2
glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM
glueBal fm1 fm2 = glueBal2 fm1 fm2

glueBal2 fm1 fm2 = 
glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1)
where 
glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2
glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise
mid_elt1  = mid_elt10 vv2
mid_elt10 (vzx,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vzy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vzz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,wuu) = mid_key2
vv2  = findMax fm1
vv3  = findMin fm2

glueBal3 fm1 EmptyFM = fm1
glueBal3 xzy xzz = glueBal2 xzy xzz

glueBal4 EmptyFM fm2 = fm2
glueBal4 yuv yuw = glueBal3 yuv yuw

The following Function with conditions
lookupFM EmptyFM key = Nothing
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find
 | key_to_find < key
 = lookupFM fm_l key_to_find
 | key_to_find > key
 = lookupFM fm_r key_to_find
 | otherwise
 = Just elt

is transformed to
lookupFM EmptyFM key = lookupFM4 EmptyFM key
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find

lookupFM2 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find
lookupFM2 key elt wuv fm_l fm_r key_to_find False = lookupFM1 key elt wuv fm_l fm_r key_to_find (key_to_find > key)

lookupFM1 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find
lookupFM1 key elt wuv fm_l fm_r key_to_find False = lookupFM0 key elt wuv fm_l fm_r key_to_find otherwise

lookupFM0 key elt wuv fm_l fm_r key_to_find True = Just elt

lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM2 key elt wuv fm_l fm_r key_to_find (key_to_find < key)

lookupFM4 EmptyFM key = Nothing
lookupFM4 yuz yvu = lookupFM3 yuz yvu

The following Function with conditions
intersectFM_C combiner fm1 EmptyFM = emptyFM
intersectFM_C combiner EmptyFM fm2 = emptyFM
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right)
 | Maybe.isJust maybe_elt1
 = mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
 | otherwise
 = glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
where 
elt1  = elt10 vv1
elt10 (Just elt1) = elt1
gts  = splitGT fm1 split_key
lts  = splitLT fm1 split_key
maybe_elt1  = lookupFM fm1 split_key
vv1  = maybe_elt1

is transformed to
intersectFM_C combiner fm1 EmptyFM = intersectFM_C4 combiner fm1 EmptyFM
intersectFM_C combiner EmptyFM fm2 = intersectFM_C3 combiner EmptyFM fm2
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right)

intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right) = 
intersectFM_C1 combiner fm1 split_key elt2 wuy left right (Maybe.isJust maybe_elt1)
where 
elt1  = elt10 vv1
elt10 (Just elt1) = elt1
gts  = splitGT fm1 split_key
intersectFM_C0 combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right False = intersectFM_C0 combiner fm1 split_key elt2 wuy left right otherwise
lts  = splitLT fm1 split_key
maybe_elt1  = lookupFM fm1 split_key
vv1  = maybe_elt1

intersectFM_C3 combiner EmptyFM fm2 = emptyFM
intersectFM_C3 yvx yvy yvz = intersectFM_C2 yvx yvy yvz

intersectFM_C4 combiner fm1 EmptyFM = emptyFM
intersectFM_C4 ywv yww ywx = intersectFM_C3 ywv yww ywx

The following Function with conditions
compare x y
 | x == y
 = EQ
 | x <= y
 = LT
 | otherwise
 = GT

is transformed to
compare x y = compare3 x y

compare1 x y True = LT
compare1 x y False = compare0 x y otherwise

compare2 x y True = EQ
compare2 x y False = compare1 x y (x <= y)

compare0 x y True = GT

compare3 x y = compare2 x y (x == y)

The following Function with conditions
gcd' x 0 = x
gcd' x y = gcd' y (x `rem` y)

is transformed to
gcd' x ywy = gcd'2 x ywy
gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x ywy = x
gcd'1 ywz yxu yxv = gcd'0 yxu yxv

gcd'2 x ywy = gcd'1 (ywy == 0) x ywy
gcd'2 yxw yxx = gcd'0 yxw yxx

The following Function with conditions
gcd 0 0 = error []
gcd x y = 
gcd' (abs x) (abs y)
where 
gcd' x 0 = x
gcd' x y = gcd' y (x `rem` y)

is transformed to
gcd yxy yxz = gcd3 yxy yxz
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x ywy = gcd'2 x ywy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x ywy = x
gcd'1 ywz yxu yxv = gcd'0 yxu yxv
gcd'2 x ywy = gcd'1 (ywy == 0) x ywy
gcd'2 yxw yxx = gcd'0 yxw yxx

gcd1 True yxy yxz = error []
gcd1 yyu yyv yyw = gcd0 yyv yyw

gcd2 True yxy yxz = gcd1 (yxz == 0) yxy yxz
gcd2 yyx yyy yyz = gcd0 yyy yyz

gcd3 yxy yxz = gcd2 (yxy == 0) yxy yxz
gcd3 yzu yzv = gcd0 yzu yzv

The following Function with conditions
absReal x
 | x >= 0
 = x
 | otherwise
 = `negate` x

is transformed to
absReal x = absReal2 x

absReal1 x True = x
absReal1 x False = absReal0 x otherwise

absReal0 x True = `negate` x

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

The following Function with conditions
reduce x y
 | y == 0
 = error []
 | otherwise
 = x `quot` d :% (y `quot` d)
where 
d  = gcd x y

is transformed to
reduce x y = reduce2 x y

reduce2 x y = 
reduce1 x y (y == 0)
where 
d  = gcd x y
reduce0 x y True = x `quot` d :% (y `quot` d)
reduce1 x y True = error []
reduce1 x y False = reduce0 x y otherwise



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed

mainModule FiniteMap
  ((intersectFM_C :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b) :: (a  ->  c  ->  b)  ->  FiniteMap Bool a  ->  FiniteMap Bool c  ->  FiniteMap Bool b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) 
  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 xyz xzu xzv xzw = addToFM_C3 xyz xzu xzv xzw

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt vwx fm_l EmptyFM) = fm_l
deleteMax (Branch key elt vwy fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMin (Branch key elt wuw EmptyFM fm_r) = fm_r
deleteMin (Branch key elt wux fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vyz vzu EmptyFM) = (key,elt)
findMax (Branch key elt vzv vzw fm_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (c  ->  a  ->  b  ->  b)  ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt wy fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2
glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM
glueBal fm1 fm2 = glueBal2 fm1 fm2

  
glueBal2 fm1 fm2 = 
glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where 
glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2
glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise
mid_elt1 = mid_elt10 vv2
mid_elt10 (vzx,mid_elt1) = mid_elt1
mid_elt2 = mid_elt20 vv3
mid_elt20 (vzy,mid_elt2) = mid_elt2
mid_key1 = mid_key10 vv2
mid_key10 (mid_key1,vzz) = mid_key1
mid_key2 = mid_key20 vv3
mid_key20 (mid_key2,wuu) = mid_key2
vv2 = findMax fm1
vv3 = findMin fm2

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 xzy xzz = glueBal2 xzy xzz

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 yuv yuw = glueBal3 yuv yuw

  glueVBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2
glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

  
glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = 
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_l < size_r) where 
glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw otherwise
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_r < size_l)
size_l = sizeFM (Branch yy yz zu zv zw)
size_r = sizeFM (Branch zy zz vuu vuv vuw)

  
glueVBal4 fm1 EmptyFM = fm1
glueVBal4 xvw xvx = glueVBal3 xvw xvx

  
glueVBal5 EmptyFM fm2 = fm2
glueVBal5 xvz xwu = glueVBal4 xvz xwu

  intersectFM_C :: Ord c => (a  ->  b  ->  d)  ->  FiniteMap c a  ->  FiniteMap c b  ->  FiniteMap c d
intersectFM_C combiner fm1 EmptyFM = intersectFM_C4 combiner fm1 EmptyFM
intersectFM_C combiner EmptyFM fm2 = intersectFM_C3 combiner EmptyFM fm2
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right)

  
intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right) = 
intersectFM_C1 combiner fm1 split_key elt2 wuy left right (Maybe.isJust maybe_elt1) where 
elt1 = elt10 vv1
elt10 (Just elt1) = elt1
gts = splitGT fm1 split_key
intersectFM_C0 combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right False = intersectFM_C0 combiner fm1 split_key elt2 wuy left right otherwise
lts = splitLT fm1 split_key
maybe_elt1 = lookupFM fm1 split_key
vv1 = maybe_elt1

  
intersectFM_C3 combiner EmptyFM fm2 = emptyFM
intersectFM_C3 yvx yvy yvz = intersectFM_C2 yvx yvy yvz

  
intersectFM_C4 combiner fm1 EmptyFM = emptyFM
intersectFM_C4 ywv yww ywx = intersectFM_C3 ywv yww ywx

  lookupFM :: Ord b => FiniteMap b a  ->  b  ->  Maybe a
lookupFM EmptyFM key = lookupFM4 EmptyFM key
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find

  
lookupFM0 key elt wuv fm_l fm_r key_to_find True = Just elt

  
lookupFM1 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find
lookupFM1 key elt wuv fm_l fm_r key_to_find False = lookupFM0 key elt wuv fm_l fm_r key_to_find otherwise

  
lookupFM2 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find
lookupFM2 key elt wuv fm_l fm_r key_to_find False = lookupFM1 key elt wuv fm_l fm_r key_to_find (key_to_find > key)

  
lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM2 key elt wuv fm_l fm_r key_to_find (key_to_find < key)

  
lookupFM4 EmptyFM key = Nothing
lookupFM4 yuz yvu = lookupFM3 yuz yvu

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R = 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where 
double_L fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l = sizeFM fm_L
size_r = sizeFM fm_R

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r = 
let 
result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok = True
left_ok = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key vw vx vy vz) = 
let 
biggest_left_key = fst (findMax fm_l)
in biggest_left_key < key
left_size = sizeFM fm_l
right_ok = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key wu wv ww wx) = 
let 
smallest_right_key = fst (findMin fm_r)
in key < smallest_right_key
right_size = sizeFM fm_r
unbox :: Int  ->  Int
unbox x = x

  mkVBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r
mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = 
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_l < size_r) where 
mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_r < size_l)
size_l = sizeFM (Branch vuy vuz vvu vvv vvw)
size_r = sizeFM (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch4 xwy xwz xxu xxv = mkVBalBranch3 xwy xwz xxu xxv

  
mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch5 xxx xxy xxz xyu = mkVBalBranch4 xxx xxy xxz xyu

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch xz yu size yv yw) = size

  splitGT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitGT EmptyFM split_key = splitGT4 EmptyFM split_key
splitGT (Branch key elt xy fm_l fm_r) split_key = splitGT3 (Branch key elt xy fm_l fm_r) split_key

  
splitGT0 key elt xy fm_l fm_r split_key True = fm_r

  
splitGT1 key elt xy fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
splitGT1 key elt xy fm_l fm_r split_key False = splitGT0 key elt xy fm_l fm_r split_key otherwise

  
splitGT2 key elt xy fm_l fm_r split_key True = splitGT fm_r split_key
splitGT2 key elt xy fm_l fm_r split_key False = splitGT1 key elt xy fm_l fm_r split_key (split_key < key)

  
splitGT3 (Branch key elt xy fm_l fm_r) split_key = splitGT2 key elt xy fm_l fm_r split_key (split_key > key)

  
splitGT4 EmptyFM split_key = emptyFM
splitGT4 xux xuy = splitGT3 xux xuy

  splitLT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitLT EmptyFM split_key = splitLT4 EmptyFM split_key
splitLT (Branch key elt xx fm_l fm_r) split_key = splitLT3 (Branch key elt xx fm_l fm_r) split_key

  
splitLT0 key elt xx fm_l fm_r split_key True = fm_l

  
splitLT1 key elt xx fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
splitLT1 key elt xx fm_l fm_r split_key False = splitLT0 key elt xx fm_l fm_r split_key otherwise

  
splitLT2 key elt xx fm_l fm_r split_key True = splitLT fm_l split_key
splitLT2 key elt xx fm_l fm_r split_key False = splitLT1 key elt xx fm_l fm_r split_key (split_key > key)

  
splitLT3 (Branch key elt xx fm_l fm_r) split_key = splitLT2 key elt xx fm_l fm_r split_key (split_key < key)

  
splitLT4 EmptyFM split_key = emptyFM
splitLT4 wzz xuu = splitLT3 wzz xuu

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust wuz = True



Let/Where Reductions:
The bindings of the following Let/Where expression
intersectFM_C1 combiner fm1 split_key elt2 wuy left right (Maybe.isJust maybe_elt1)
where 
elt1  = elt10 vv1
elt10 (Just elt1) = elt1
gts  = splitGT fm1 split_key
intersectFM_C0 combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
intersectFM_C1 combiner fm1 split_key elt2 wuy left right False = intersectFM_C0 combiner fm1 split_key elt2 wuy left right otherwise
lts  = splitLT fm1 split_key
maybe_elt1  = lookupFM fm1 split_key
vv1  = maybe_elt1

are unpacked to the following functions on top level
intersectFM_C2Lts yzw yzx = splitLT yzw yzx

intersectFM_C2Gts yzw yzx = splitGT yzw yzx

intersectFM_C2Elt1 yzw yzx = intersectFM_C2Elt10 yzw yzx (intersectFM_C2Vv1 yzw yzx)

intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner (intersectFM_C2Elt1 yzw yzx) elt2) (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)
intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right False = intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right otherwise

intersectFM_C2Maybe_elt1 yzw yzx = lookupFM yzw yzx

intersectFM_C2Elt10 yzw yzx (Just elt1) = elt1

intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)

intersectFM_C2Vv1 yzw yzx = intersectFM_C2Maybe_elt1 yzw yzx

The bindings of the following Let/Where expression
glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1)
where 
glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2
glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise
mid_elt1  = mid_elt10 vv2
mid_elt10 (vzx,mid_elt1) = mid_elt1
mid_elt2  = mid_elt20 vv3
mid_elt20 (vzy,mid_elt2) = mid_elt2
mid_key1  = mid_key10 vv2
mid_key10 (mid_key1,vzz) = mid_key1
mid_key2  = mid_key20 vv3
mid_key20 (mid_key2,wuu) = mid_key2
vv2  = findMax fm1
vv3  = findMin fm2

are unpacked to the following functions on top level
glueBal2Mid_key20 yzy yzz (mid_key2,wuu) = mid_key2

glueBal2Vv3 yzy yzz = findMin yzy

glueBal2Mid_elt1 yzy yzz = glueBal2Mid_elt10 yzy yzz (glueBal2Vv2 yzy yzz)

glueBal2Mid_key10 yzy yzz (mid_key1,vzz) = mid_key1

glueBal2Mid_elt20 yzy yzz (vzy,mid_elt2) = mid_elt2

glueBal2Mid_key1 yzy yzz = glueBal2Mid_key10 yzy yzz (glueBal2Vv2 yzy yzz)

glueBal2Mid_key2 yzy yzz = glueBal2Mid_key20 yzy yzz (glueBal2Vv3 yzy yzz)

glueBal2Mid_elt10 yzy yzz (vzx,mid_elt1) = mid_elt1

glueBal2Mid_elt2 yzy yzz = glueBal2Mid_elt20 yzy yzz (glueBal2Vv3 yzy yzz)

glueBal2GlueBal0 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 yzy yzz) (glueBal2Mid_elt1 yzy yzz) (deleteMax fm1) fm2

glueBal2Vv2 yzy yzz = findMax yzz

glueBal2GlueBal1 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 yzy yzz) (glueBal2Mid_elt2 yzy yzz) fm1 (deleteMin fm2)
glueBal2GlueBal1 yzy yzz fm1 fm2 False = glueBal2GlueBal0 yzy yzz fm1 fm2 otherwise

The bindings of the following Let/Where expression
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2)
where 
double_L fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)
mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)
mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

are unpacked to the following functions on top level
mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

mkBalBranch6Single_R zuu zuv zuw zux (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 zuu zuv fm_lr fm_r)

mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_r zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_l zuu zuv zuw zux)

mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Double_R zuu zuv zuw zux fm_L fm_R

mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_l zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_r zuu zuv zuw zux)

mkBalBranch6Size_l zuu zuv zuw zux = sizeFM zuw

mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

mkBalBranch6Single_L zuu zuv zuw zux fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 zuu zuv fm_l fm_rl) fm_rr

mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)

mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)

mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Double_L zuu zuv zuw zux fm_L fm_R

mkBalBranch6Size_r zuu zuv zuw zux = sizeFM zux

mkBalBranch6Double_R zuu zuv zuw zux (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 zuu zuv fm_lrr fm_r)

mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R otherwise

mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Single_R zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise

mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Single_L zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise

mkBalBranch6Double_L zuu zuv zuw zux fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 zuu zuv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

The bindings of the following Let/Where expression
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_l < size_r)
where 
glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal0 yy yz zu zv zw zy zz vuu vuv vuw otherwise
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal2 yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal1 yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * size_r < size_l)
size_l  = sizeFM (Branch yy yz zu zv zw)
size_r  = sizeFM (Branch zy zz vuu vuv vuw)

are unpacked to the following functions on top level
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw otherwise

glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zuy zuz zvu zvv zvw)

glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv < glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv)

glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zvx zvy zvz zwu zwv)

The bindings of the following Let/Where expression
let 
result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
where 
balance_ok  = True
left_ok  = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key vw vx vy vz) = 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key
left_size  = sizeFM fm_l
right_ok  = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key wu wv ww wx) = 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key
right_size  = sizeFM fm_r
unbox x = x

are unpacked to the following functions on top level
mkBranchRight_ok zww zwx zwy = mkBranchRight_ok0 zww zwx zwy zww zwx zww

mkBranchLeft_size zww zwx zwy = sizeFM zwy

mkBranchRight_ok0 zww zwx zwy fm_r key EmptyFM = True
mkBranchRight_ok0 zww zwx zwy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

mkBranchBalance_ok zww zwx zwy = True

mkBranchRight_size zww zwx zwy = sizeFM zww

mkBranchUnbox zww zwx zwy x = x

mkBranchLeft_ok0 zww zwx zwy fm_l key EmptyFM = True
mkBranchLeft_ok0 zww zwx zwy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchLeft_ok zww zwx zwy = mkBranchLeft_ok0 zww zwx zwy zwy zwx zwy

The bindings of the following Let/Where expression
let 
result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result

are unpacked to the following functions on top level
mkBranchResult zwz zxu zxv zxw = Branch zwz zxu (mkBranchUnbox zxv zwz zxw (1 + mkBranchLeft_size zxv zwz zxw + mkBranchRight_size zxv zwz zxw)) zxw zxv

The bindings of the following Let/Where expression
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_l < size_r)
where 
mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch0 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch2 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch1 key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * size_r < size_l)
size_l  = sizeFM (Branch vuy vuz vvu vvv vvw)
size_r  = sizeFM (Branch vvy vvz vwu vwv vww)

are unpacked to the following functions on top level
mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zxx zxy zxz zyu zyv)

mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu < mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu)

mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zyw zyx zyy zyz zzu)

mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise

The bindings of the following Let/Where expression
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

are unpacked to the following functions on top level
mkBranchRight_ok0Smallest_right_key zzv = fst (findMin zzv)

The bindings of the following Let/Where expression
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

are unpacked to the following functions on top level
mkBranchLeft_ok0Biggest_left_key zzw = fst (findMax zzw)

The bindings of the following Let/Where expression
reduce1 x y (y == 0)
where 
d  = gcd x y
reduce0 x y True = x `quot` d :% (y `quot` d)
reduce1 x y True = error []
reduce1 x y False = reduce0 x y otherwise

are unpacked to the following functions on top level
reduce2Reduce1 zzx zzy x y True = error []
reduce2Reduce1 zzx zzy x y False = reduce2Reduce0 zzx zzy x y otherwise

reduce2D zzx zzy = gcd zzx zzy

reduce2Reduce0 zzx zzy x y True = x `quot` reduce2D zzx zzy :% (y `quot` reduce2D zzx zzy)

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x ywy = gcd'2 x ywy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x ywy = x
gcd'1 ywz yxu yxv = gcd'0 yxu yxv
gcd'2 x ywy = gcd'1 (ywy == 0) x ywy
gcd'2 yxw yxx = gcd'0 yxw yxx

are unpacked to the following functions on top level
gcd0Gcd'1 True x ywy = x
gcd0Gcd'1 ywz yxu yxv = gcd0Gcd'0 yxu yxv

gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y)

gcd0Gcd'2 x ywy = gcd0Gcd'1 (ywy == 0) x ywy
gcd0Gcd'2 yxw yxx = gcd0Gcd'0 yxw yxx

gcd0Gcd' x ywy = gcd0Gcd'2 x ywy
gcd0Gcd' x y = gcd0Gcd'0 x y



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed

mainModule FiniteMap
  ((intersectFM_C :: (b  ->  a  ->  c)  ->  FiniteMap Bool b  ->  FiniteMap Bool a  ->  FiniteMap Bool c) :: (b  ->  a  ->  c)  ->  FiniteMap Bool b  ->  FiniteMap Bool a  ->  FiniteMap Bool c)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 xyz xzu xzv xzw = addToFM_C3 xyz xzu xzv xzw

  deleteMax :: Ord b => FiniteMap b a  ->  FiniteMap b a
deleteMax (Branch key elt vwx fm_l EmptyFM) = fm_l
deleteMax (Branch key elt vwy fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMin (Branch key elt wuw EmptyFM fm_r) = fm_r
deleteMin (Branch key elt wux fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap a b
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt vyz vzu EmptyFM) = (key,elt)
findMax (Branch key elt vzv vzw fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (a  ->  c  ->  b  ->  b)  ->  b  ->  FiniteMap a c  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt wy fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2
glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM
glueBal fm1 fm2 = glueBal2 fm1 fm2

  
glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1)

  
glueBal2GlueBal0 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 yzy yzz) (glueBal2Mid_elt1 yzy yzz) (deleteMax fm1) fm2

  
glueBal2GlueBal1 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 yzy yzz) (glueBal2Mid_elt2 yzy yzz) fm1 (deleteMin fm2)
glueBal2GlueBal1 yzy yzz fm1 fm2 False = glueBal2GlueBal0 yzy yzz fm1 fm2 otherwise

  
glueBal2Mid_elt1 yzy yzz = glueBal2Mid_elt10 yzy yzz (glueBal2Vv2 yzy yzz)

  
glueBal2Mid_elt10 yzy yzz (vzx,mid_elt1) = mid_elt1

  
glueBal2Mid_elt2 yzy yzz = glueBal2Mid_elt20 yzy yzz (glueBal2Vv3 yzy yzz)

  
glueBal2Mid_elt20 yzy yzz (vzy,mid_elt2) = mid_elt2

  
glueBal2Mid_key1 yzy yzz = glueBal2Mid_key10 yzy yzz (glueBal2Vv2 yzy yzz)

  
glueBal2Mid_key10 yzy yzz (mid_key1,vzz) = mid_key1

  
glueBal2Mid_key2 yzy yzz = glueBal2Mid_key20 yzy yzz (glueBal2Vv3 yzy yzz)

  
glueBal2Mid_key20 yzy yzz (mid_key2,wuu) = mid_key2

  
glueBal2Vv2 yzy yzz = findMax yzz

  
glueBal2Vv3 yzy yzz = findMin yzy

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 xzy xzz = glueBal2 xzy xzz

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 yuv yuw = glueBal3 yuv yuw

  glueVBal :: Ord a => FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2
glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

  
glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3GlueVBal2 zy zz vuu vuv vuw yy yz zu zv zw yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * glueVBal3Size_l zy zz vuu vuv vuw yy yz zu zv zw < glueVBal3Size_r zy zz vuu vuv vuw yy yz zu zv zw)

  
glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

  
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw otherwise

  
glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv < glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv)

  
glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zvx zvy zvz zwu zwv)

  
glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zuy zuz zvu zvv zvw)

  
glueVBal4 fm1 EmptyFM = fm1
glueVBal4 xvw xvx = glueVBal3 xvw xvx

  
glueVBal5 EmptyFM fm2 = fm2
glueVBal5 xvz xwu = glueVBal4 xvz xwu

  intersectFM_C :: Ord a => (d  ->  c  ->  b)  ->  FiniteMap a d  ->  FiniteMap a c  ->  FiniteMap a b
intersectFM_C combiner fm1 EmptyFM = intersectFM_C4 combiner fm1 EmptyFM
intersectFM_C combiner EmptyFM fm2 = intersectFM_C3 combiner EmptyFM fm2
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right)

  
intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2IntersectFM_C1 fm1 split_key combiner fm1 split_key elt2 wuy left right (Maybe.isJust (intersectFM_C2Maybe_elt1 fm1 split_key))

  
intersectFM_C2Elt1 yzw yzx = intersectFM_C2Elt10 yzw yzx (intersectFM_C2Vv1 yzw yzx)

  
intersectFM_C2Elt10 yzw yzx (Just elt1) = elt1

  
intersectFM_C2Gts yzw yzx = splitGT yzw yzx

  
intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)

  
intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner (intersectFM_C2Elt1 yzw yzx) elt2) (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)
intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right False = intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right otherwise

  
intersectFM_C2Lts yzw yzx = splitLT yzw yzx

  
intersectFM_C2Maybe_elt1 yzw yzx = lookupFM yzw yzx

  
intersectFM_C2Vv1 yzw yzx = intersectFM_C2Maybe_elt1 yzw yzx

  
intersectFM_C3 combiner EmptyFM fm2 = emptyFM
intersectFM_C3 yvx yvy yvz = intersectFM_C2 yvx yvy yvz

  
intersectFM_C4 combiner fm1 EmptyFM = emptyFM
intersectFM_C4 ywv yww ywx = intersectFM_C3 ywv yww ywx

  lookupFM :: Ord a => FiniteMap a b  ->  a  ->  Maybe b
lookupFM EmptyFM key = lookupFM4 EmptyFM key
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find

  
lookupFM0 key elt wuv fm_l fm_r key_to_find True = Just elt

  
lookupFM1 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find
lookupFM1 key elt wuv fm_l fm_r key_to_find False = lookupFM0 key elt wuv fm_l fm_r key_to_find otherwise

  
lookupFM2 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find
lookupFM2 key elt wuv fm_l fm_r key_to_find False = lookupFM1 key elt wuv fm_l fm_r key_to_find (key_to_find > key)

  
lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM2 key elt wuv fm_l fm_r key_to_find (key_to_find < key)

  
lookupFM4 EmptyFM key = Nothing
lookupFM4 yuz yvu = lookupFM3 yuz yvu

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < 2)

  
mkBalBranch6Double_L zuu zuv zuw zux fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 zuu zuv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R zuu zuv zuw zux (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 zuu zuv fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Double_L zuu zuv zuw zux fm_L fm_R

  
mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Single_L zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Double_R zuu zuv zuw zux fm_L fm_R

  
mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Single_R zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_l zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_r zuu zuv zuw zux)

  
mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_r zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_l zuu zuv zuw zux)

  
mkBalBranch6Single_L zuu zuv zuw zux fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 zuu zuv fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R zuu zuv zuw zux (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 zuu zuv fm_lr fm_r)

  
mkBalBranch6Size_l zuu zuv zuw zux = sizeFM zuw

  
mkBalBranch6Size_r zuu zuv zuw zux = sizeFM zux

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_r fm_l

  
mkBranchBalance_ok zww zwx zwy = True

  
mkBranchLeft_ok zww zwx zwy = mkBranchLeft_ok0 zww zwx zwy zwy zwx zwy

  
mkBranchLeft_ok0 zww zwx zwy fm_l key EmptyFM = True
mkBranchLeft_ok0 zww zwx zwy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key zzw = fst (findMax zzw)

  
mkBranchLeft_size zww zwx zwy = sizeFM zwy

  
mkBranchResult zwz zxu zxv zxw = Branch zwz zxu (mkBranchUnbox zxv zwz zxw (1 + mkBranchLeft_size zxv zwz zxw + mkBranchRight_size zxv zwz zxw)) zxw zxv

  
mkBranchRight_ok zww zwx zwy = mkBranchRight_ok0 zww zwx zwy zww zwx zww

  
mkBranchRight_ok0 zww zwx zwy fm_r key EmptyFM = True
mkBranchRight_ok0 zww zwx zwy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key zzv = fst (findMin zzv)

  
mkBranchRight_size zww zwx zwy = sizeFM zww

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox zww zwx zwy x = x

  mkVBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r
mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3MkVBalBranch2 vuy vuz vvu vvv vvw vvy vvz vwu vwv vww key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * mkVBalBranch3Size_l vuy vuz vvu vvv vvw vvy vvz vwu vwv vww < mkVBalBranch3Size_r vuy vuz vvu vvv vvw vvy vvz vwu vwv vww)

  
mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch 13 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise

  
mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu < mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu)

  
mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zxx zxy zxz zyu zyv)

  
mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zyw zyx zyy zyz zzu)

  
mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch4 xwy xwz xxu xxv = mkVBalBranch3 xwy xwz xxu xxv

  
mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch5 xxx xxy xxz xyu = mkVBalBranch4 xxx xxy xxz xyu

  sIZE_RATIO :: Int
sIZE_RATIO = 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM = 0
sizeFM (Branch xz yu size yv yw) = size

  splitGT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitGT EmptyFM split_key = splitGT4 EmptyFM split_key
splitGT (Branch key elt xy fm_l fm_r) split_key = splitGT3 (Branch key elt xy fm_l fm_r) split_key

  
splitGT0 key elt xy fm_l fm_r split_key True = fm_r

  
splitGT1 key elt xy fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
splitGT1 key elt xy fm_l fm_r split_key False = splitGT0 key elt xy fm_l fm_r split_key otherwise

  
splitGT2 key elt xy fm_l fm_r split_key True = splitGT fm_r split_key
splitGT2 key elt xy fm_l fm_r split_key False = splitGT1 key elt xy fm_l fm_r split_key (split_key < key)

  
splitGT3 (Branch key elt xy fm_l fm_r) split_key = splitGT2 key elt xy fm_l fm_r split_key (split_key > key)

  
splitGT4 EmptyFM split_key = emptyFM
splitGT4 xux xuy = splitGT3 xux xuy

  splitLT :: Ord a => FiniteMap a b  ->  a  ->  FiniteMap a b
splitLT EmptyFM split_key = splitLT4 EmptyFM split_key
splitLT (Branch key elt xx fm_l fm_r) split_key = splitLT3 (Branch key elt xx fm_l fm_r) split_key

  
splitLT0 key elt xx fm_l fm_r split_key True = fm_l

  
splitLT1 key elt xx fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
splitLT1 key elt xx fm_l fm_r split_key False = splitLT0 key elt xx fm_l fm_r split_key otherwise

  
splitLT2 key elt xx fm_l fm_r split_key True = splitLT fm_l split_key
splitLT2 key elt xx fm_l fm_r split_key False = splitLT1 key elt xx fm_l fm_r split_key (split_key > key)

  
splitLT3 (Branch key elt xx fm_l fm_r) split_key = splitLT2 key elt xx fm_l fm_r split_key (split_key < key)

  
splitLT4 EmptyFM split_key = emptyFM
splitLT4 wzz xuu = splitLT3 wzz xuu

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt = Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust wuz = True



Num Reduction: All numbers are transformed to thier corresponding representation with Pos, Neg, Succ and Zero.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow

mainModule FiniteMap
  (intersectFM_C :: (a  ->  b  ->  c)  ->  FiniteMap Bool a  ->  FiniteMap Bool b  ->  FiniteMap Bool c)

module FiniteMap where
  import qualified Maybe
import qualified Prelude
  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) 
  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addToFM :: Ord a => FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM fm key elt = addToFM_C addToFM0 fm key elt

  
addToFM0 old new = new

  addToFM_C :: Ord b => (a  ->  a  ->  a)  ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 xyz xzu xzv xzw = addToFM_C3 xyz xzu xzv xzw

  deleteMax :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMax (Branch key elt vwx fm_l EmptyFM) = fm_l
deleteMax (Branch key elt vwy fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)

  deleteMin :: Ord a => FiniteMap a b  ->  FiniteMap a b
deleteMin (Branch key elt wuw EmptyFM fm_r) = fm_r
deleteMin (Branch key elt wux fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r

  emptyFM :: FiniteMap b a
emptyFM = EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt vyz vzu EmptyFM) = (key,elt)
findMax (Branch key elt vzv vzw fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm = foldFM fmToList0 [] fm

  
fmToList0 key elt rest = (key,elt) : rest

  foldFM :: (c  ->  b  ->  a  ->  a)  ->  a  ->  FiniteMap c b  ->  a
foldFM k z EmptyFM = z
foldFM k z (Branch key elt wy fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l

  glueBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2
glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM
glueBal fm1 fm2 = glueBal2 fm1 fm2

  
glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1)

  
glueBal2GlueBal0 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 yzy yzz) (glueBal2Mid_elt1 yzy yzz) (deleteMax fm1) fm2

  
glueBal2GlueBal1 yzy yzz fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 yzy yzz) (glueBal2Mid_elt2 yzy yzz) fm1 (deleteMin fm2)
glueBal2GlueBal1 yzy yzz fm1 fm2 False = glueBal2GlueBal0 yzy yzz fm1 fm2 otherwise

  
glueBal2Mid_elt1 yzy yzz = glueBal2Mid_elt10 yzy yzz (glueBal2Vv2 yzy yzz)

  
glueBal2Mid_elt10 yzy yzz (vzx,mid_elt1) = mid_elt1

  
glueBal2Mid_elt2 yzy yzz = glueBal2Mid_elt20 yzy yzz (glueBal2Vv3 yzy yzz)

  
glueBal2Mid_elt20 yzy yzz (vzy,mid_elt2) = mid_elt2

  
glueBal2Mid_key1 yzy yzz = glueBal2Mid_key10 yzy yzz (glueBal2Vv2 yzy yzz)

  
glueBal2Mid_key10 yzy yzz (mid_key1,vzz) = mid_key1

  
glueBal2Mid_key2 yzy yzz = glueBal2Mid_key20 yzy yzz (glueBal2Vv3 yzy yzz)

  
glueBal2Mid_key20 yzy yzz (mid_key2,wuu) = mid_key2

  
glueBal2Vv2 yzy yzz = findMax yzz

  
glueBal2Vv3 yzy yzz = findMin yzy

  
glueBal3 fm1 EmptyFM = fm1
glueBal3 xzy xzz = glueBal2 xzy xzz

  
glueBal4 EmptyFM fm2 = fm2
glueBal4 yuv yuw = glueBal3 yuv yuw

  glueVBal :: Ord b => FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2
glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM
glueVBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

  
glueVBal3 (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw) = glueVBal3GlueVBal2 zy zz vuu vuv vuw yy yz zu zv zw yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * glueVBal3Size_l zy zz vuu vuv vuw yy yz zu zv zw < glueVBal3Size_r zy zz vuu vuv vuw yy yz zu zv zw)

  
glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = glueBal (Branch yy yz zu zv zw) (Branch zy zz vuu vuv vuw)

  
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch yy yz zv (glueVBal zw (Branch zy zz vuu vuv vuw))
glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal0 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw otherwise

  
glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw True = mkBalBranch zy zz (glueVBal (Branch yy yz zu zv zw) vuv) vuw
glueVBal3GlueVBal2 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw False = glueVBal3GlueVBal1 zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv yy yz zu zv zw zy zz vuu vuv vuw (sIZE_RATIO * glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv < glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv)

  
glueVBal3Size_l zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zvx zvy zvz zwu zwv)

  
glueVBal3Size_r zuy zuz zvu zvv zvw zvx zvy zvz zwu zwv = sizeFM (Branch zuy zuz zvu zvv zvw)

  
glueVBal4 fm1 EmptyFM = fm1
glueVBal4 xvw xvx = glueVBal3 xvw xvx

  
glueVBal5 EmptyFM fm2 = fm2
glueVBal5 xvz xwu = glueVBal4 xvz xwu

  intersectFM_C :: Ord a => (b  ->  c  ->  d)  ->  FiniteMap a b  ->  FiniteMap a c  ->  FiniteMap a d
intersectFM_C combiner fm1 EmptyFM = intersectFM_C4 combiner fm1 EmptyFM
intersectFM_C combiner EmptyFM fm2 = intersectFM_C3 combiner EmptyFM fm2
intersectFM_C combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right)

  
intersectFM_C2 combiner fm1 (Branch split_key elt2 wuy left right) = intersectFM_C2IntersectFM_C1 fm1 split_key combiner fm1 split_key elt2 wuy left right (Maybe.isJust (intersectFM_C2Maybe_elt1 fm1 split_key))

  
intersectFM_C2Elt1 yzw yzx = intersectFM_C2Elt10 yzw yzx (intersectFM_C2Vv1 yzw yzx)

  
intersectFM_C2Elt10 yzw yzx (Just elt1) = elt1

  
intersectFM_C2Gts yzw yzx = splitGT yzw yzx

  
intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right True = glueVBal (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)

  
intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right True = mkVBalBranch split_key (combiner (intersectFM_C2Elt1 yzw yzx) elt2) (intersectFM_C combiner (intersectFM_C2Lts yzw yzx) left) (intersectFM_C combiner (intersectFM_C2Gts yzw yzx) right)
intersectFM_C2IntersectFM_C1 yzw yzx combiner fm1 split_key elt2 wuy left right False = intersectFM_C2IntersectFM_C0 yzw yzx combiner fm1 split_key elt2 wuy left right otherwise

  
intersectFM_C2Lts yzw yzx = splitLT yzw yzx

  
intersectFM_C2Maybe_elt1 yzw yzx = lookupFM yzw yzx

  
intersectFM_C2Vv1 yzw yzx = intersectFM_C2Maybe_elt1 yzw yzx

  
intersectFM_C3 combiner EmptyFM fm2 = emptyFM
intersectFM_C3 yvx yvy yvz = intersectFM_C2 yvx yvy yvz

  
intersectFM_C4 combiner fm1 EmptyFM = emptyFM
intersectFM_C4 ywv yww ywx = intersectFM_C3 ywv yww ywx

  lookupFM :: Ord a => FiniteMap a b  ->  a  ->  Maybe b
lookupFM EmptyFM key = lookupFM4 EmptyFM key
lookupFM (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find

  
lookupFM0 key elt wuv fm_l fm_r key_to_find True = Just elt

  
lookupFM1 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find
lookupFM1 key elt wuv fm_l fm_r key_to_find False = lookupFM0 key elt wuv fm_l fm_r key_to_find otherwise

  
lookupFM2 key elt wuv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find
lookupFM2 key elt wuv fm_l fm_r key_to_find False = lookupFM1 key elt wuv fm_l fm_r key_to_find (key_to_find > key)

  
lookupFM3 (Branch key elt wuv fm_l fm_r) key_to_find = lookupFM2 key elt wuv fm_l fm_r key_to_find (key_to_find < key)

  
lookupFM4 EmptyFM key = Nothing
lookupFM4 yuz yvu = lookupFM3 yuz yvu

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < Pos (Succ (Succ Zero)))

  
mkBalBranch6Double_L zuu zuv zuw zux fm_l (Branch key_r elt_r vxz (Branch key_rl elt_rl vyu fm_rll fm_rlr) fm_rr) = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) zuu zuv fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R zuu zuv zuw zux (Branch key_l elt_l vxu fm_ll (Branch key_lr elt_lr vxv fm_lrl fm_lrr)) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) zuu zuv fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Double_L zuu zuv zuw zux fm_L fm_R

  
mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr True = mkBalBranch6Single_L zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr False = mkBalBranch6MkBalBranch00 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 zuu zuv zuw zux fm_L fm_R (Branch vyv vyw vyx fm_rl fm_rr) = mkBalBranch6MkBalBranch01 zuu zuv zuw zux fm_L fm_R vyv vyw vyx fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Double_R zuu zuv zuw zux fm_L fm_R

  
mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr True = mkBalBranch6Single_R zuu zuv zuw zux fm_L fm_R
mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr False = mkBalBranch6MkBalBranch10 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 zuu zuv zuw zux fm_L fm_R (Branch vxw vxx vxy fm_ll fm_lr) = mkBalBranch6MkBalBranch11 zuu zuv zuw zux fm_L fm_R vxw vxx vxy fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 zuu zuv zuw zux fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 zuu zuv zuw zux key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 zuu zuv zuw zux fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_l zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_r zuu zuv zuw zux)

  
mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R
mkBalBranch6MkBalBranch5 zuu zuv zuw zux key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 zuu zuv zuw zux key elt fm_L fm_R (mkBalBranch6Size_r zuu zuv zuw zux > sIZE_RATIO * mkBalBranch6Size_l zuu zuv zuw zux)

  
mkBalBranch6Single_L zuu zuv zuw zux fm_l (Branch key_r elt_r vyy fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) zuu zuv fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R zuu zuv zuw zux (Branch key_l elt_l vwz fm_ll fm_lr) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) key_l elt_l fm_ll (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) zuu zuv fm_lr fm_r)

  
mkBalBranch6Size_l zuu zuv zuw zux = sizeFM zuw

  
mkBalBranch6Size_r zuu zuv zuw zux = sizeFM zux

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_r fm_l

  
mkBranchBalance_ok zww zwx zwy = True

  
mkBranchLeft_ok zww zwx zwy = mkBranchLeft_ok0 zww zwx zwy zwy zwx zwy

  
mkBranchLeft_ok0 zww zwx zwy fm_l key EmptyFM = True
mkBranchLeft_ok0 zww zwx zwy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key zzw = fst (findMax zzw)

  
mkBranchLeft_size zww zwx zwy = sizeFM zwy

  
mkBranchResult zwz zxu zxv zxw = Branch zwz zxu (mkBranchUnbox zxv zwz zxw (Pos (Succ Zero) + mkBranchLeft_size zxv zwz zxw + mkBranchRight_size zxv zwz zxw)) zxw zxv

  
mkBranchRight_ok zww zwx zwy = mkBranchRight_ok0 zww zwx zwy zww zwx zww

  
mkBranchRight_ok0 zww zwx zwy fm_r key EmptyFM = True
mkBranchRight_ok0 zww zwx zwy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key zzv = fst (findMin zzv)

  
mkBranchRight_size zww zwx zwy = sizeFM zww

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox zww zwx zwy x = x

  mkVBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r
mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM
mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch3 key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww) = mkVBalBranch3MkVBalBranch2 vuy vuz vvu vvv vvw vvy vvz vwu vwv vww key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * mkVBalBranch3Size_l vuy vuz vvu vvv vvw vvy vvz vwu vwv vww < mkVBalBranch3Size_r vuy vuz vvu vvv vvw vvy vvz vwu vwv vww)

  
mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) key elt (Branch vuy vuz vvu vvv vvw) (Branch vvy vvz vwu vwv vww)

  
mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vuy vuz vvv (mkVBalBranch key elt vvw (Branch vvy vvz vwu vwv vww))
mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch0 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww otherwise

  
mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww True = mkBalBranch vvy vvz (mkVBalBranch key elt (Branch vuy vuz vvu vvv vvw) vwv) vww
mkVBalBranch3MkVBalBranch2 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww False = mkVBalBranch3MkVBalBranch1 zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu key elt vuy vuz vvu vvv vvw vvy vvz vwu vwv vww (sIZE_RATIO * mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu < mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu)

  
mkVBalBranch3Size_l zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zxx zxy zxz zyu zyv)

  
mkVBalBranch3Size_r zxx zxy zxz zyu zyv zyw zyx zyy zyz zzu = sizeFM (Branch zyw zyx zyy zyz zzu)

  
mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt
mkVBalBranch4 xwy xwz xxu xxv = mkVBalBranch3 xwy xwz xxu xxv

  
mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt
mkVBalBranch5 xxx xxy xxz xyu = mkVBalBranch4 xxx xxy xxz xyu

  sIZE_RATIO :: Int
sIZE_RATIO = Pos (Succ (Succ (Succ (Succ (Succ Zero)))))

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM = Pos Zero
sizeFM (Branch xz yu size yv yw) = size

  splitGT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitGT EmptyFM split_key = splitGT4 EmptyFM split_key
splitGT (Branch key elt xy fm_l fm_r) split_key = splitGT3 (Branch key elt xy fm_l fm_r) split_key

  
splitGT0 key elt xy fm_l fm_r split_key True = fm_r

  
splitGT1 key elt xy fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
splitGT1 key elt xy fm_l fm_r split_key False = splitGT0 key elt xy fm_l fm_r split_key otherwise

  
splitGT2 key elt xy fm_l fm_r split_key True = splitGT fm_r split_key
splitGT2 key elt xy fm_l fm_r split_key False = splitGT1 key elt xy fm_l fm_r split_key (split_key < key)

  
splitGT3 (Branch key elt xy fm_l fm_r) split_key = splitGT2 key elt xy fm_l fm_r split_key (split_key > key)

  
splitGT4 EmptyFM split_key = emptyFM
splitGT4 xux xuy = splitGT3 xux xuy

  splitLT :: Ord b => FiniteMap b a  ->  b  ->  FiniteMap b a
splitLT EmptyFM split_key = splitLT4 EmptyFM split_key
splitLT (Branch key elt xx fm_l fm_r) split_key = splitLT3 (Branch key elt xx fm_l fm_r) split_key

  
splitLT0 key elt xx fm_l fm_r split_key True = fm_l

  
splitLT1 key elt xx fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
splitLT1 key elt xx fm_l fm_r split_key False = splitLT0 key elt xx fm_l fm_r split_key otherwise

  
splitLT2 key elt xx fm_l fm_r split_key True = splitLT fm_l split_key
splitLT2 key elt xx fm_l fm_r split_key False = splitLT1 key elt xx fm_l fm_r split_key (split_key > key)

  
splitLT3 (Branch key elt xx fm_l fm_r) split_key = splitLT2 key elt xx fm_l fm_r split_key (split_key < key)

  
splitLT4 EmptyFM split_key = emptyFM
splitLT4 wzz xuu = splitLT3 wzz xuu

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt = Branch key elt (Pos (Succ Zero)) emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude
  isJust :: Maybe a  ->  Bool
isJust Nothing = False
isJust wuz = True



Haskell To QDPs


↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C2Elt10(zzz2055, zzz2056, zzz2057, zzz2058, False, zzz2060, zzz2061, zzz2062, Branch(zzz20630, zzz20631, zzz20632, zzz20633, zzz20634), h) → new_intersectFM_C2Elt10(zzz2055, zzz2056, zzz2057, zzz2058, zzz20630, zzz20631, zzz20632, zzz20633, zzz20634, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C2Elt100(zzz1885, zzz1886, zzz1887, zzz1888, True, zzz1890, zzz1891, Branch(zzz18920, zzz18921, zzz18922, zzz18923, zzz18924), zzz1893, h) → new_intersectFM_C2Elt100(zzz1885, zzz1886, zzz1887, zzz1888, zzz18920, zzz18921, zzz18922, zzz18923, zzz18924, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueBal2Mid_key10(zzz1994, zzz1995, zzz1996, zzz1997, zzz1998, zzz1999, zzz2000, zzz2001, zzz2002, zzz2003, zzz2004, zzz2005, zzz2006, zzz2007, Branch(zzz20080, zzz20081, zzz20082, zzz20083, zzz20084), h, ba) → new_glueBal2Mid_key10(zzz1994, zzz1995, zzz1996, zzz1997, zzz1998, zzz1999, zzz2000, zzz2001, zzz2002, zzz2003, zzz20080, zzz20081, zzz20082, zzz20083, zzz20084, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueBal2Mid_elt10(zzz1978, zzz1979, zzz1980, zzz1981, zzz1982, zzz1983, zzz1984, zzz1985, zzz1986, zzz1987, zzz1988, zzz1989, zzz1990, zzz1991, Branch(zzz19920, zzz19921, zzz19922, zzz19923, zzz19924), h, ba) → new_glueBal2Mid_elt10(zzz1978, zzz1979, zzz1980, zzz1981, zzz1982, zzz1983, zzz1984, zzz1985, zzz1986, zzz1987, zzz19920, zzz19921, zzz19922, zzz19923, zzz19924, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueBal2Mid_key20(zzz1962, zzz1963, zzz1964, zzz1965, zzz1966, zzz1967, zzz1968, zzz1969, zzz1970, zzz1971, zzz1972, zzz1973, zzz1974, Branch(zzz19750, zzz19751, zzz19752, zzz19753, zzz19754), zzz1976, h, ba) → new_glueBal2Mid_key20(zzz1962, zzz1963, zzz1964, zzz1965, zzz1966, zzz1967, zzz1968, zzz1969, zzz1970, zzz1971, zzz19750, zzz19751, zzz19752, zzz19753, zzz19754, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueBal2Mid_elt20(zzz1946, zzz1947, zzz1948, zzz1949, zzz1950, zzz1951, zzz1952, zzz1953, zzz1954, zzz1955, zzz1956, zzz1957, zzz1958, Branch(zzz19590, zzz19591, zzz19592, zzz19593, zzz19594), zzz1960, h, ba) → new_glueBal2Mid_elt20(zzz1946, zzz1947, zzz1948, zzz1949, zzz1950, zzz1951, zzz1952, zzz1953, zzz1954, zzz1955, zzz19590, zzz19591, zzz19592, zzz19593, zzz19594, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primPlusNat(Succ(zzz72000)) → new_primPlusNat(zzz72000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primMinusNat(Succ(zzz86900), Succ(zzz23200)) → new_primMinusNat(zzz86900, zzz23200)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primPlusNat0(Succ(zzz630), Succ(zzz6400)) → new_primPlusNat0(zzz630, zzz6400)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkBalBranch6MkBalBranch11(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Succ(zzz204500), h, ba) → new_mkBalBranch6MkBalBranch11(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2037000, zzz204500, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkBalBranch6MkBalBranch3(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Succ(zzz202300), h, ba) → new_mkBalBranch6MkBalBranch3(zzz2230, zzz2231, zzz1925, zzz2234, zzz2019000, zzz202300, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkBalBranch6MkBalBranch01(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Succ(zzz203500), h, ba) → new_mkBalBranch6MkBalBranch01(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz2021000, zzz203500, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkBalBranch6MkBalBranch4(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Succ(zzz201100), h, ba) → new_mkBalBranch6MkBalBranch4(zzz2230, zzz2231, zzz1925, zzz2234, zzz2010000, zzz201100, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_deleteMax(zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), h, ba) → new_deleteMax(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_deleteMin(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, h, ba) → new_deleteMin(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueBal2GlueBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz1914000), Succ(zzz1913000), h, ba) → new_glueBal2GlueBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1914000, zzz1913000, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz18820, h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Zero), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz189400), zzz19010, h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz189400, zzz19010, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, Zero, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal16(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz189400, Zero, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Neg(zzz18790), h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz19010, h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal16(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz190000), Succ(Succ(zzz1894000)), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz190000), Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz187900, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz189400, zzz19010, h, ba)
new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Succ(Succ(zzz1879000)), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Succ(Zero), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), Succ(zzz19010), Pos(zzz18940), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz187900), zzz18820, h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, zzz18820, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(Succ(zzz1879000)), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal16(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(Succ(zzz1894000)), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1894, h, ba) → new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1894, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal2(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1879, h, ba) → new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1879, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3(zzz280, zzz281, zzz282, zzz283, zzz284, zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Pos(Zero), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Zero), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz190000)), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Pos(zzz18790), h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, zzz18820, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz18810, Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz189400, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Zero, h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)

The TRS R consists of the following rules:

new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primMulNat(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234), h, ba)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz280, zzz281, zzz282, zzz283, zzz284), h, ba)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_sizeFM(EmptyFM, bb, bc) → Pos(Zero)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bb, bc) → zzz9742
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_glueVBal3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_sizeFM(EmptyFM, x0, x1)
new_glueVBal3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_primPlusNat1(Zero, Zero)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat1(Zero, Succ(x0))
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 9 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz18820, h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1894, h, ba) → new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1894, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Zero), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal2(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1879, h, ba) → new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1879, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, Zero, h, ba)
new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz19010, h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Neg(zzz18790), h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3(zzz280, zzz281, zzz282, zzz283, zzz284, zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz190000), Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz187900, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz189400, zzz19010, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Zero), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Pos(Zero), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz190000)), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), Succ(zzz19010), Pos(zzz18940), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Pos(zzz18790), h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, zzz18820, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz18810, Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz189400, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Zero, h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)

The TRS R consists of the following rules:

new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primMulNat(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234), h, ba)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz280, zzz281, zzz282, zzz283, zzz284), h, ba)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_sizeFM(EmptyFM, bb, bc) → Pos(Zero)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bb, bc) → zzz9742
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_glueVBal3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_sizeFM(EmptyFM, x0, x1)
new_glueVBal3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_primPlusNat1(Zero, Zero)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat1(Zero, Succ(x0))
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz18820, h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Succ(zzz1879000))), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz188100)), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1894, h, ba) → new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1894, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz188100, zzz1879000, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Zero), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1879000), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal2(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz1879, h, ba) → new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), zzz1879, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, Zero, h, ba)
new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz19010, h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Zero)), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Neg(zzz18790), h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3(zzz280, zzz281, zzz282, zzz283, zzz284, zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz190000), Succ(zzz1894000), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Zero), h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal27(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz187900, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz189400, zzz19010, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz19010), Neg(Zero), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18810), Pos(Zero), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal25(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz188100), Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Succ(zzz190000)), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal1(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz190000, zzz1894000, h, ba)
new_glueVBal3GlueVBal12(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Pos(zzz18990), zzz1894, h, ba) → new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18990), zzz1894, h, ba)
new_glueVBal3GlueVBal14(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, Branch(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844), Succ(zzz19010), Pos(zzz18940), h, ba) → new_glueVBal3(zzz2840, zzz2841, zzz2842, zzz2843, zzz2844, zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, Branch(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334), zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Pos(zzz18790), h, ba) → new_glueVBal3GlueVBal2(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_r(zzz22330, zzz22331, zzz22332, zzz22333, zzz22334, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal28(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_glueVBal3GlueVBal11(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba), h, ba)
new_glueVBal3GlueVBal20(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Neg(zzz18800), zzz1879, h, ba) → new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, new_primMulNat(zzz18800), zzz1879, h, ba)
new_glueVBal3GlueVBal21(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal22(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(zzz18820), Neg(Succ(zzz187900)), h, ba) → new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz187900, zzz18820, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Succ(Zero), Pos(Succ(Succ(zzz1894000))), h, ba) → new_glueVBal3GlueVBal10(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal29(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, zzz18810, Zero, h, ba) → new_glueVBal3GlueVBal24(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)
new_glueVBal3GlueVBal13(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Pos(Succ(zzz189400)), h, ba) → new_glueVBal3GlueVBal15(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, zzz189400, h, ba)
new_glueVBal3GlueVBal23(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, Zero, Zero, h, ba) → new_glueVBal3GlueVBal26(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba)

The TRS R consists of the following rules:

new_glueVBal3Size_l(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz280, zzz281, zzz282, zzz283, zzz284), h, ba)
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bb, bc) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_glueVBal3Size_r(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234, zzz280, zzz281, zzz282, zzz283, zzz284, h, ba) → new_sizeFM(Branch(zzz2230, zzz2231, zzz2232, zzz2233, zzz2234), h, ba)

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_glueVBal3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_sizeFM(EmptyFM, x0, x1)
new_glueVBal3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_primPlusNat1(Zero, Zero)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat1(Zero, Succ(x0))
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitGT2(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), h) → new_splitGT2(zzz19311, zzz19312, zzz19313, zzz19314, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitLT(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), h) → new_splitLT2(zzz5121, zzz5122, zzz5123, zzz5124, h)
new_splitLT2(zzz510, zzz511, Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), zzz513, h) → new_splitLT2(zzz5121, zzz5122, zzz5123, zzz5124, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitLT2(zzz510, zzz511, Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), zzz513, h) → new_splitLT2(zzz5121, zzz5122, zzz5123, zzz5124, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_addToFM_C(Branch(False, zzz441, zzz442, zzz443, zzz444), zzz41, h) → new_addToFM_C(zzz444, zzz41, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Zero, bc)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h) at position [10] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), h) at position [10] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h) at position [11] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), h) at position [11] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), bc) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primMulNat1(x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primMulNat1(x0)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h) at position [11] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch22(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, h)
new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch21(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 6 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), Succ(zzz46200)), h) at position [11] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch27(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch26(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 5 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h) at position [10,0] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h) at position [10,0] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primMulNat0(zzz599), Succ(zzz599)), ba) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primMulNat0(zzz689), Succ(zzz689)), bc) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primMulNat0(x0)
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primMulNat0(x0)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h) at position [10,0] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), Succ(zzz599)), Succ(zzz599)), ba) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h) at position [10,0] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), Succ(zzz689)), Succ(zzz689)), bc) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), Succ(zzz44200)), Succ(zzz44200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h) at position [10] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599))), Succ(zzz599)), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h) at position [10] we obtained the following new rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689))), Succ(zzz689)), bc) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200))), Succ(zzz44200)), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h)
new_mkVBalBranch3MkVBalBranch16(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].


The following pairs can be oriented strictly and are deleted.


new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba) → new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz599), zzz599)), zzz599)), zzz599))), ba)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch12(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), h)
new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), h) → new_mkVBalBranch(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h)
The remaining pairs can at least be oriented weakly.

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
Used ordering: Polynomial interpretation [25]:

POL(Branch(x1, x2, x3, x4, x5)) = x1 + x2 + x3 + x4 + x5   
POL(Neg(x1)) = x1   
POL(Pos(x1)) = 1 + x1   
POL(Succ(x1)) = 0   
POL(Zero) = 1   
POL(new_mkVBalBranch(x1, x2, x3, x4)) = x2   
POL(new_mkVBalBranch3MkVBalBranch1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x5   
POL(new_mkVBalBranch3MkVBalBranch10(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch11(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x2 + x5   
POL(new_mkVBalBranch3MkVBalBranch12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x1 + x3 + x4   
POL(new_mkVBalBranch3MkVBalBranch13(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x2 + x4   
POL(new_mkVBalBranch3MkVBalBranch14(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x5   
POL(new_mkVBalBranch3MkVBalBranch15(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x5   
POL(new_mkVBalBranch3MkVBalBranch2(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch20(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch23(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch24(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch25(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch28(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x4 + x5   
POL(new_primPlusNat1(x1, x2)) = 0   
POL(new_primPlusNat2(x1)) = 1 + x1   
POL(new_primPlusNat3(x1, x2)) = x1 + x2   

The following usable rules [17] were oriented: none



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch10(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), ba) → new_mkVBalBranch3MkVBalBranch11(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch13(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch1(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz44200), zzz44200)), zzz44200)), zzz44200))), h)
new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch23(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, ba)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), bb) → new_mkVBalBranch(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), bb)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 5 SCCs with 5 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                          ↳ QDPSizeChangeProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                          ↳ QDPSizeChangeProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPSizeChangeProof
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), h) → new_mkVBalBranch3MkVBalBranch20(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch2(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), ba) → new_mkVBalBranch(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, ba)
new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), ba) → new_mkVBalBranch3MkVBalBranch20(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, ba)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].


The following pairs can be oriented strictly and are deleted.


new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), bc) → new_mkVBalBranch3MkVBalBranch15(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), bc)
The remaining pairs can at least be oriented weakly.

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)
Used ordering: Polynomial interpretation [25]:

POL(Branch(x1, x2, x3, x4, x5)) = 1 + x2 + x4 + x5   
POL(Neg(x1)) = 0   
POL(Pos(x1)) = 0   
POL(Succ(x1)) = 0   
POL(Zero) = 0   
POL(new_mkVBalBranch(x1, x2, x3, x4)) = x2   
POL(new_mkVBalBranch3MkVBalBranch14(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x5   
POL(new_mkVBalBranch3MkVBalBranch15(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x5   
POL(new_mkVBalBranch3MkVBalBranch24(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch25(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = 1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch28(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x5   
POL(new_primPlusNat1(x1, x2)) = 0   
POL(new_primPlusNat2(x1)) = 1   
POL(new_primPlusNat3(x1, x2)) = 1 + x1   

The following usable rules [17] were oriented: none



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), bd) → new_mkVBalBranch(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), bd)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, bc) → new_mkVBalBranch3MkVBalBranch14(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz689), zzz689)), zzz689)), zzz689))), bc)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, bc) → new_mkVBalBranch3MkVBalBranch28(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 4 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ QDPSizeChangeProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), bc) → new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)
new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), h) → new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz46200), zzz46200)), zzz46200))), h)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch3MkVBalBranch25(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), h)
new_mkVBalBranch3MkVBalBranch25(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), bc) → new_mkVBalBranch(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, bc)
new_mkVBalBranch3MkVBalBranch24(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), h) → new_mkVBalBranch(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ QReductionProof
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ QDPOrderProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ QReductionProof
                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                    ↳ QDPSizeChangeProof
                                                                                                                                                                                                                ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), bd) → new_mkVBalBranch3MkVBalBranch15(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, bd)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Succ(x1))
new_primPlusNat3(x0, Zero)
new_primPlusNat2(Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat1(Succ(x0), Zero)
new_primPlusNat1(Zero, Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ Rewriting
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ Rewriting
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ Rewriting
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ UsableRulesProof
                                                                          ↳ QDP
                                                                            ↳ QReductionProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ Rewriting
                                                                                      ↳ QDP
                                                                                        ↳ Rewriting
                                                                                          ↳ QDP
                                                                                            ↳ DependencyGraphProof
                                                                                              ↳ QDP
                                                                                                ↳ Rewriting
                                                                                                  ↳ QDP
                                                                                                    ↳ DependencyGraphProof
                                                                                                      ↳ QDP
                                                                                                        ↳ Rewriting
                                                                                                          ↳ QDP
                                                                                                            ↳ Rewriting
                                                                                                              ↳ QDP
                                                                                                                ↳ Rewriting
                                                                                                                  ↳ QDP
                                                                                                                    ↳ Rewriting
                                                                                                                      ↳ QDP
                                                                                                                        ↳ Rewriting
                                                                                                                          ↳ QDP
                                                                                                                            ↳ Rewriting
                                                                                                                              ↳ QDP
                                                                                                                                ↳ Rewriting
                                                                                                                                  ↳ QDP
                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                      ↳ QDP
                                                                                                                                        ↳ QReductionProof
                                                                                                                                          ↳ QDP
                                                                                                                                            ↳ Rewriting
                                                                                                                                              ↳ QDP
                                                                                                                                                ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                          ↳ QDP
                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                        ↳ QDPOrderProof
                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                          ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), bb) → new_mkVBalBranch3MkVBalBranch11(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitGT20(zzz510, zzz511, Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), zzz513, h) → new_splitGT20(zzz5121, zzz5122, zzz5123, zzz5124, h)
new_splitGT(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), h) → new_splitGT20(zzz5121, zzz5122, zzz5123, zzz5124, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitGT20(zzz510, zzz511, Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), zzz513, h) → new_splitGT20(zzz5121, zzz5122, zzz5123, zzz5124, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_addToFM_C0(Branch(True, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, h) → new_addToFM_C0(zzz8863, zzz41, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz106700), zzz10370, h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch129(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(Succ(zzz1043000)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz138800), zzz13790, bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109300, Zero, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch192(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(Succ(zzz1057000)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1125(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1082000)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(Succ(zzz1047000)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz105000, Zero, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(Succ(zzz1382000)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1051000)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1102(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1078000)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1112(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106800, Zero, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(Succ(zzz1051000)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1086000)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch162(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138900, Zero, bb)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105300), zzz10250, h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(Succ(zzz1086000)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105400, Zero, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(Succ(zzz1090000)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch129(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1043000)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), bb) → new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, bb)
new_mkVBalBranch3MkVBalBranch162(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(Succ(zzz1386000)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz107200), zzz10410, h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108400), zzz10760, h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch129(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104600, Zero, h)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1135(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107300, Zero, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz104500), zzz10170, h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108800), zzz10280, h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1102(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108100, Zero, h)
new_mkVBalBranch3MkVBalBranch1112(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(Succ(zzz1065000)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1125(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(Succ(zzz1082000)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1135(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(Succ(zzz1070000)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1125(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108500, Zero, h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch1102(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(Succ(zzz1078000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz108000), zzz10630, h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105900), zzz10330, h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz109200), zzz10300, h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1112(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1065000)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch162(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(Succ(zzz1386000)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1135(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1070000)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108900, Zero, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1090000)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1047000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz104900), zzz10210, h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz138400), zzz13770, ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch192(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(Succ(zzz1057000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138500, Zero, ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch192(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106000, Zero, h)
new_mkVBalBranch3MkVBalBranch116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(Succ(zzz1382000)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primMulNat(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_sizeFM(EmptyFM, bc, bd) → Pos(Zero)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 48 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), bb) → new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, bb)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat2(Zero) → Zero
new_primMulNat(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_sizeFM(EmptyFM, bc, bd) → Pos(Zero)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), bb) → new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, bb)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), bb) → new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, bb)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1327)), bb)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), bb) → new_mkVBalBranch3MkVBalBranch163(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, bb)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, bb), bb) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch156(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), bb) → new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Pos(Succ(Succ(zzz1386000))), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 4 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1327)), bb)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, bb) → new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch165(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h) at position [11] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Succ(zzz109200)), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), h) → new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), h) → new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), h) → new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Succ(zzz108800)), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), h) → new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), h) → new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), h) → new_mkVBalBranch3MkVBalBranch166(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), h) → new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch184(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch153(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Pos(Succ(Succ(zzz1086000))), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), h) → new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1090000))), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch185(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), h) → new_mkVBalBranch3MkVBalBranch176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch154(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), h) → new_mkVBalBranch3MkVBalBranch177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, h) → new_mkVBalBranch3MkVBalBranch171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch183(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch217(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch174(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 3 SCCs with 37 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, bb), bb) at position [12] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), h) → new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), h) → new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), h) → new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch135(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Pos(Succ(Succ(zzz1047000))), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch133(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch136(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba) at position [12] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Zero), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(Succ(zzz138400)), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), h) → new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1103(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), h) → new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch199(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch198(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1078000))), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), h) → new_mkVBalBranch3MkVBalBranch196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Succ(zzz104900)), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch138(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 4 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), Succ(zzz43200)), Succ(zzz43200)), h) at position [11,0] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba) at position [12] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), h) → new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), h) → new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Succ(zzz104500)), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch131(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch124(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch132(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Succ(zzz108000)), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1105(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200))), Succ(zzz43200)), h) at position [11] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 6 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), h) → new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1051000))), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), h) → new_mkVBalBranch3MkVBalBranch150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), h) → new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Pos(Succ(Succ(zzz1043000))), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), h) → new_mkVBalBranch3MkVBalBranch125(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 4 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), h) → new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), h) → new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch123(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch126(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch117(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch130(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, h) → new_mkVBalBranch3MkVBalBranch128(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 6 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(Succ(zzz105300)), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), h) → new_mkVBalBranch3MkVBalBranch148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), h) → new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), h) → new_mkVBalBranch3MkVBalBranch1113(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1106(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1109(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1108(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Pos(Succ(Succ(zzz1065000))), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Succ(zzz106700)), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1115(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), h) → new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), h) → new_mkVBalBranch3MkVBalBranch187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Succ(zzz105900)), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), h) → new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), h) → new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Pos(Succ(Succ(zzz1057000))), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), h) → new_mkVBalBranch3MkVBalBranch186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch120(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch191(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, ba), ba) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), ba) → new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, ba), ba)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1117(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch111(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1118(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 5 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, h), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1070000))), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch1129(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), h) → new_mkVBalBranch3MkVBalBranch1131(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1132(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), h) → new_mkVBalBranch3MkVBalBranch1136(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Succ(zzz108400)), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), h) → new_mkVBalBranch3MkVBalBranch1127(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1120(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1128(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 7 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h) at position [12] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(Succ(zzz107200)), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, h), h) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_sizeFM(EmptyFM, x0, x1)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By narrowing [15] the rule new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), h) → new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch119(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Zero), y10) → new_mkVBalBranch3MkVBalBranch144(y0, y1, y2, y3, y4, y5, y6, y7, y8, Zero, y10)
new_mkVBalBranch3MkVBalBranch119(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Succ(x0)), y10) → new_mkVBalBranch3MkVBalBranch144(y0, y1, y2, y3, y4, y5, y6, y7, y8, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch119(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Zero), y10) → new_mkVBalBranch3MkVBalBranch144(y0, y1, y2, y3, y4, y5, y6, y7, y8, Zero, y10)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch144(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), h) → new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch119(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Succ(x0)), y10) → new_mkVBalBranch3MkVBalBranch144(y0, y1, y2, y3, y4, y5, y6, y7, y8, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y10)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch119(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 5 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By narrowing [15] the rule new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), h) → new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), h) at position [9] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch122(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Succ(x0)), y10) → new_mkVBalBranch3MkVBalBranch1107(y0, y1, y2, y3, y4, y5, y6, y7, y8, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y10)
new_mkVBalBranch3MkVBalBranch122(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Zero), y10) → new_mkVBalBranch3MkVBalBranch1107(y0, y1, y2, y3, y4, y5, y6, y7, y8, Zero, y10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch122(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch122(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Succ(x0)), y10) → new_mkVBalBranch3MkVBalBranch1107(y0, y1, y2, y3, y4, y5, y6, y7, y8, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y10)
new_mkVBalBranch3MkVBalBranch122(y0, y1, y2, y3, y4, y5, y6, y7, y8, Neg(Zero), y10) → new_mkVBalBranch3MkVBalBranch1107(y0, y1, y2, y3, y4, y5, y6, y7, y8, Zero, y10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1111(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1107(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), h) → new_mkVBalBranch3MkVBalBranch1114(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 6 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By narrowing [15] the rule new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), h) → new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), h) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Succ(x0)), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y11)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), h) → new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Succ(x0)), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, new_primPlusNat1(new_primMulNat0(x0), Succ(x0)), y11)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1121(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Pos(Succ(Succ(zzz1082000))), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 5 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), bb) → new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), bb) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz138800)), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, bb) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), h) → new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10) at position [10,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10) at position [10,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), h) → new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primMulNat(Succ(z7)), z10) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z10) at position [10,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z10) at position [10,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
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                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z10) at position [10] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), ba) → new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), ba) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(Succ(z7)), z11) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primMulNat0(z7), Succ(z7)), z11) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), Succ(z7)), Succ(z7)), z11) at position [11,0] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primPlusNat1(Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7))), Succ(z7)), z11) at position [11] we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, ba) → new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
new_mkVBalBranch3MkVBalBranch113(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), ba) → new_mkVBalBranch3MkVBalBranch1116(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch110(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), ba) → new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(Succ(zzz1313)), ba) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch112(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Pos(Succ(Succ(zzz1382000))), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), h) → new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch1126(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, h) → new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), h) → new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch17(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(z7), z12) → new_mkVBalBranch3MkVBalBranch1130(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(z7), z12)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch17(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(z7), z12) → new_mkVBalBranch3MkVBalBranch1130(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(z7), z12)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1137(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Pos(Succ(z2)), z12) → new_mkVBalBranch0(z10, z4, Branch(z5, z6, Neg(z7), z8, z9), z12)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch17(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(z7), z12) → new_mkVBalBranch3MkVBalBranch1130(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(z7), z12)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1137(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Pos(Succ(z2)), z12) → new_mkVBalBranch0(z10, z4, Branch(z5, z6, Neg(z7), z8, z9), z12)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), h) → new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) we obtained the following new rules:

new_mkVBalBranch3MkVBalBranch1138(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z2)), z11) → new_mkVBalBranch3MkVBalBranch1134(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch17(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(z7), z12) → new_mkVBalBranch3MkVBalBranch1130(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(z7), z12)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1137(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Pos(Succ(z2)), z12) → new_mkVBalBranch0(z10, z4, Branch(z5, z6, Neg(z7), z8, z9), z12)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch1138(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z2)), z11) → new_mkVBalBranch3MkVBalBranch1134(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].


The following pairs can be oriented strictly and are deleted.


new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch17(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(z7), z12) → new_mkVBalBranch3MkVBalBranch1130(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, new_primMulNat(z7), z12)
new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch3MkVBalBranch18(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch118(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, ba) → new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch197(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), h) → new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h)
new_mkVBalBranch3MkVBalBranch157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), bb) → new_mkVBalBranch3MkVBalBranch164(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(Succ(zzz1327)), bb)
The remaining pairs can at least be oriented weakly.

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch1137(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Pos(Succ(z2)), z12) → new_mkVBalBranch0(z10, z4, Branch(z5, z6, Neg(z7), z8, z9), z12)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch1138(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z2)), z11) → new_mkVBalBranch3MkVBalBranch1134(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
Used ordering: Polynomial interpretation [25]:

POL(Branch(x1, x2, x3, x4, x5)) = 1 + x1 + x2 + x4 + x5   
POL(Neg(x1)) = 0   
POL(Pos(x1)) = 0   
POL(Succ(x1)) = 0   
POL(Zero) = 0   
POL(new_mkVBalBranch0(x1, x2, x3, x4)) = x2   
POL(new_mkVBalBranch3MkVBalBranch110(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1101(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)) = x4   
POL(new_mkVBalBranch3MkVBalBranch1104(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x1 + x4   
POL(new_mkVBalBranch3MkVBalBranch1119(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x1 + x2 + x5   
POL(new_mkVBalBranch3MkVBalBranch112(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1122(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1124(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1126(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1130(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch1134(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x5   
POL(new_mkVBalBranch3MkVBalBranch1137(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch1138(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x1 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch114(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x3 + x5   
POL(new_mkVBalBranch3MkVBalBranch115(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x5   
POL(new_mkVBalBranch3MkVBalBranch118(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x2 + x4   
POL(new_mkVBalBranch3MkVBalBranch121(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x1 + x4   
POL(new_mkVBalBranch3MkVBalBranch134(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x4   
POL(new_mkVBalBranch3MkVBalBranch141(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x4   
POL(new_mkVBalBranch3MkVBalBranch155(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch157(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch160(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x2 + x5   
POL(new_mkVBalBranch3MkVBalBranch161(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x2 + x5   
POL(new_mkVBalBranch3MkVBalBranch164(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = x2 + x5   
POL(new_mkVBalBranch3MkVBalBranch17(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch18(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch19(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch197(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x1 + x4   
POL(new_mkVBalBranch3MkVBalBranch210(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch211(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch214(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch215(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch216(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch218(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)) = 1 + x1 + x2 + x4 + x5   
POL(new_mkVBalBranch3MkVBalBranch29(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)) = 1 + x1 + x2 + x4 + x5   
POL(new_primMulNat(x1)) = 0   
POL(new_primMulNat0(x1)) = 1 + x1   
POL(new_primPlusNat1(x1, x2)) = 1   
POL(new_primPlusNat2(x1)) = 0   
POL(new_primPlusNat3(x1, x2)) = 0   

The following usable rules [17] were oriented: none



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch141(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Zero), z11) → new_mkVBalBranch0(z9, z3, Branch(z4, z5, Neg(Succ(z6)), z7, z8), z11)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch0(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch1124(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)
new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch161(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch17(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz88620), h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch121(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch197(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10) → new_mkVBalBranch3MkVBalBranch1124(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch121(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz886200)), h)
new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(y_3)), z11) → new_mkVBalBranch3MkVBalBranch112(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(y_3), Pos(Succ(z2)), z11)
new_mkVBalBranch3MkVBalBranch214(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch3MkVBalBranch19(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz1318)), ba)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb) → new_mkVBalBranch3MkVBalBranch155(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz1332)), bb)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), h) → new_mkVBalBranch3MkVBalBranch1137(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1134(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, h) → new_mkVBalBranch0(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), h)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch211(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch1137(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Pos(Succ(z2)), z12) → new_mkVBalBranch0(z10, z4, Branch(z5, z6, Neg(z7), z8, z9), z12)
new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch1104(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(Zero), h) → new_mkVBalBranch3MkVBalBranch1101(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, h)
new_mkVBalBranch3MkVBalBranch164(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, Neg(Succ(z2)), z12) → new_mkVBalBranch3MkVBalBranch160(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z2, z11, z12)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba) → new_mkVBalBranch0(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ba)
new_mkVBalBranch3MkVBalBranch18(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Pos(Zero), y11) → new_mkVBalBranch3MkVBalBranch1119(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9, Zero, y11)
new_mkVBalBranch3MkVBalBranch155(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Neg(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch157(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1122(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Pos(Succ(z2)), z10) → new_mkVBalBranch3MkVBalBranch1126(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, Zero, z2, z10)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch218(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, bb)
new_mkVBalBranch3MkVBalBranch134(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), h) → new_mkVBalBranch3MkVBalBranch141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(Zero), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch112(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, Succ(z11), Pos(Succ(Succ(x12))), z12) → new_mkVBalBranch3MkVBalBranch114(z0, z1, Succ(x12), z3, z4, z5, z6, z7, z8, z9, z10, z11, x12, z12)
new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch115(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, ba)
new_mkVBalBranch3MkVBalBranch118(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Neg(Succ(z7)), z10) → new_mkVBalBranch3MkVBalBranch134(z1, z2, z3, z4, z5, z6, z7, z8, z9, z0, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z10)
new_mkVBalBranch3MkVBalBranch19(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z7)), z11) → new_mkVBalBranch3MkVBalBranch110(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(z7), z7)), z7)), z7))), z11)
new_mkVBalBranch3MkVBalBranch1119(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1122(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)
new_mkVBalBranch3MkVBalBranch1138(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, Pos(Succ(z2)), z11) → new_mkVBalBranch3MkVBalBranch1134(z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11)
new_mkVBalBranch3MkVBalBranch1130(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, h) → new_mkVBalBranch3MkVBalBranch1138(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz43200)), h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 6 SCCs with 32 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primMulNat(Zero)
new_primMulNat0(x0)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), h) → new_mkVBalBranch3MkVBalBranch210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), ba) → new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, ba)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch29(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch210(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), ba) → new_mkVBalBranch0(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, ba)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Zero)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primMulNat(Zero)
new_primMulNat0(x0)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch3MkVBalBranch216(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), bb) → new_mkVBalBranch0(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, bb)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)
new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), bb) → new_mkVBalBranch3MkVBalBranch216(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, bb)
new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), h) → new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, Succ(Succ(new_primPlusNat1(Succ(new_primPlusNat1(Succ(new_primPlusNat3(new_primPlusNat2(zzz43200), zzz43200)), zzz43200)), zzz43200))), h)
new_mkVBalBranch3MkVBalBranch215(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), h) → new_mkVBalBranch0(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, h)

The TRS R consists of the following rules:

new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Zero)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), ba) → new_mkVBalBranch3MkVBalBranch114(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ Instantiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDPOrderProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), bb) → new_mkVBalBranch3MkVBalBranch160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)

The TRS R consists of the following rules:

new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)

R is empty.
The set Q consists of the following terms:

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                        ↳ Narrowing
                                                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                                                                                          ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), h) → new_mkVBalBranch3MkVBalBranch1123(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ QReductionProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                                                                        ↳ AND
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                                                                            ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                                                                                ↳ QReductionProof
                                                                                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                                                                                    ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), h) → new_mkVBalBranch3MkVBalBranch1133(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                                ↳ Rewriting
                                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                                    ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                                        ↳ Rewriting
                                                                                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                                                                                            ↳ DependencyGraphProof
                                                                                                                                                                                                                                                                                              ↳ AND
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                                                                  ↳ UsableRulesProof
                                                                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                                                                      ↳ QReductionProof
                                                                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                                                                          ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), h) → new_mkVBalBranch3MkVBalBranch190(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                                                                                            ↳ AND
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                                                ↳ UsableRulesProof
                                                                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                                                                    ↳ QReductionProof
                                                                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                                                                        ↳ QDPSizeChangeProof
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), h) → new_mkVBalBranch3MkVBalBranch1110(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ UsableRulesProof
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ UsableRulesProof
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ QReductionProof
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ Rewriting
                                                                                                                                                                                                                              ↳ QDP
                                                                                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                                                                                  ↳ AND
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                                                      ↳ UsableRulesProof
                                                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                                                          ↳ QReductionProof
                                                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                                                              ↳ QDPSizeChangeProof
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), h) → new_mkVBalBranch3MkVBalBranch147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ QReductionProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ DependencyGraphProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ Rewriting
                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                          ↳ DependencyGraphProof
                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                              ↳ Rewriting
                                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                                  ↳ Rewriting
                                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                                                                                        ↳ QDP
                                                                                                                                                                                                          ↳ Rewriting
                                                                                                                                                                                                            ↳ QDP
                                                                                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                                                                                ↳ AND
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                  ↳ QDP
                                                                                                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                                                                                                      ↳ QDP
                                                                                                                                                                                                                        ↳ QReductionProof
                                                                                                                                                                                                                          ↳ QDP
                                                                                                                                                                                                                            ↳ QDPSizeChangeProof
                                                                                                                                                                            ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), h) → new_mkVBalBranch3MkVBalBranch127(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ UsableRulesProof
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ UsableRulesProof
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ QReductionProof
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ Rewriting
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ Rewriting
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ Rewriting
                                                                                                                                                              ↳ QDP
                                                                                                                                                                ↳ DependencyGraphProof
                                                                                                                                                                  ↳ QDP
                                                                                                                                                                    ↳ Rewriting
                                                                                                                                                                      ↳ QDP
                                                                                                                                                                        ↳ DependencyGraphProof
                                                                                                                                                                          ↳ AND
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                            ↳ QDP
                                                                                                                                                                              ↳ UsableRulesProof
                                                                                                                                                                                ↳ QDP
                                                                                                                                                                                  ↳ QReductionProof
                                                                                                                                                                                    ↳ QDP
                                                                                                                                                                                      ↳ QDPSizeChangeProof
                                                                                                                                                  ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), h) → new_mkVBalBranch3MkVBalBranch1100(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ UsableRulesProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ QReductionProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                          ↳ Rewriting
                                                                                            ↳ QDP
                                                                                              ↳ DependencyGraphProof
                                                                                                ↳ QDP
                                                                                                  ↳ Rewriting
                                                                                                    ↳ QDP
                                                                                                      ↳ DependencyGraphProof
                                                                                                        ↳ QDP
                                                                                                          ↳ Rewriting
                                                                                                            ↳ QDP
                                                                                                              ↳ Rewriting
                                                                                                                ↳ QDP
                                                                                                                  ↳ Rewriting
                                                                                                                    ↳ QDP
                                                                                                                      ↳ DependencyGraphProof
                                                                                                                        ↳ QDP
                                                                                                                          ↳ Rewriting
                                                                                                                            ↳ QDP
                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                ↳ QDP
                                                                                                                                  ↳ Rewriting
                                                                                                                                    ↳ QDP
                                                                                                                                      ↳ DependencyGraphProof
                                                                                                                                        ↳ QDP
                                                                                                                                          ↳ Rewriting
                                                                                                                                            ↳ QDP
                                                                                                                                              ↳ DependencyGraphProof
                                                                                                                                                ↳ AND
                                                                                                                                                  ↳ QDP
                                                                                                                                                  ↳ QDP
                                                                                                                                                    ↳ UsableRulesProof
                                                                                                                                                      ↳ QDP
                                                                                                                                                        ↳ QReductionProof
                                                                                                                                                          ↳ QDP
                                                                                                                                                            ↳ QDPSizeChangeProof
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), h) → new_mkVBalBranch3MkVBalBranch137(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                                                                            ↳ QDP
                                                                                              ↳ QReductionProof
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                                                                            ↳ QDP
                                                                                              ↳ QReductionProof
                                                                                                ↳ QDP
                                                                                                  ↳ QDPSizeChangeProof
                                                                                        ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), h) → new_mkVBalBranch3MkVBalBranch180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)

The TRS R consists of the following rules:

new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), bc, bd) → zzz9742
new_primMulNat(Zero) → Zero
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Zero) → Zero
new_primPlusNat2(Zero) → Zero
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))

The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                                                                            ↳ QDP
                                                                                              ↳ QReductionProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)

R is empty.
The set Q consists of the following terms:

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primPlusNat3(x0, Zero)
new_primPlusNat1(Zero, Succ(x0))
new_sizeFM(EmptyFM, x0, x1)
new_primPlusNat1(Zero, Zero)
new_primMulNat(Zero)
new_primPlusNat3(x0, Succ(x1))
new_primPlusNat2(Zero)
new_primPlusNat2(Succ(x0))
new_primPlusNat1(Succ(x0), Succ(x1))
new_primMulNat0(x0)
new_primPlusNat1(Succ(x0), Zero)
new_primMulNat(Succ(x0))



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ Rewriting
                                              ↳ QDP
                                                ↳ Rewriting
                                                  ↳ QDP
                                                    ↳ DependencyGraphProof
                                                      ↳ QDP
                                                        ↳ Rewriting
                                                          ↳ QDP
                                                            ↳ Rewriting
                                                              ↳ QDP
                                                                ↳ DependencyGraphProof
                                                                  ↳ QDP
                                                                    ↳ Rewriting
                                                                      ↳ QDP
                                                                        ↳ Rewriting
                                                                          ↳ QDP
                                                                            ↳ DependencyGraphProof
                                                                              ↳ QDP
                                                                                ↳ Rewriting
                                                                                  ↳ QDP
                                                                                    ↳ DependencyGraphProof
                                                                                      ↳ AND
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                        ↳ QDP
                                                                                          ↳ UsableRulesProof
                                                                                            ↳ QDP
                                                                                              ↳ QReductionProof
                                                                                                ↳ QDP
                                                                                                  ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), h) → new_mkVBalBranch3MkVBalBranch170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_splitLT20(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), h) → new_splitLT20(zzz19311, zzz19312, zzz19313, zzz19314, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: 



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, EmptyFM, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT1(zzz41, zzz42, zzz44, bb), zzz53, h, ba, bb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, EmptyFM), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT3(zzz41, zzz42, zzz43, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, EmptyFM), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT3(zzz41, zzz42, zzz43, bb), zzz54, h, ba, bb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C1(zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44, zzz3, zzz51, zzz52, zzz53, zzz54, zzz430, zzz431, zzz432, zzz433, zzz434, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, Branch(zzz5220, zzz5221, zzz5222, zzz5223, zzz5224), zzz523, bc, bd, be, bf) → new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, zzz5220, zzz5221, zzz5222, zzz5223, zzz5224, bc, bd, be, bf)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz53, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444)), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C10(zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444), zzz3, zzz51, zzz52, zzz53, zzz54, zzz440, zzz441, zzz442, zzz443, zzz444, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, EmptyFM, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT1(zzz41, zzz42, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, Branch(zzz19410, zzz19411, zzz19412, zzz19413, zzz19414), bg, bh, ca, cb) → new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, zzz19410, zzz19411, zzz19412, zzz19413, zzz19414, bg, bh, ca, cb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)

The TRS R consists of the following rules:

new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20130), cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20130, cc, cd)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), dg) → new_mkBalBranch(zzz1690, zzz1691, zzz1693, new_mkVBalBranch2(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), dg), ty_Bool, dg)
new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT24(zzz510, zzz511, zzz512, zzz513, be)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz1925, cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT24(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT0(zzz512, be)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_primPlusInt2(Pos(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt0(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Succ(zzz104300), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz104300, bb)
new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_splitGT3(zzz41, zzz42, zzz43, bb) → new_splitGT41(bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), db) → new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, db)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20360), zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20360, zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_splitGT22(zzz1928, zzz1929, zzz1930, EmptyFM, ca) → new_splitGT41(ca)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, EmptyFM, zzz2234, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_primPlusInt0(zzz16630, Pos(zzz17160)) → Pos(new_primPlusNat1(zzz16630, zzz17160))
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Succ(zzz108600), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz108600, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), bb) → new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Pos(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz10860, bb)
new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBalBranch(zzz1325, zzz1326, zzz1328, new_mkVBalBranch1(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ce), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), ce) → new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Zero)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, new_primPlusInt2(new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10530, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz105000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_splitGT24(zzz510, zzz511, zzz512, zzz513, be) → new_mkVBalBranch2(zzz510, new_splitGT0(zzz512, be), zzz513, be)
new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Succ(Zero), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), ce) → new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, ce)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138900, Zero, ce)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20330), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch2(zzz41, EmptyFM, zzz44, bb) → new_addToFM(zzz44, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, zzz2009, cc, cd) → new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2009, cc, cd)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10590, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, bb)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Succ(zzz20450), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz20450, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_splitLT0(EmptyFM, be) → new_splitLT40(be)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10800, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz106700), zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), db) → new_mkBalBranch(zzz687, zzz688, new_mkVBalBranch2(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, db), zzz691, ty_Bool, db)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20180), cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz20180, Zero, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20340), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20340, Zero, cc, cd)
new_addToFM_C2(Branch(True, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → Branch(True, new_addToFM0(zzz441, zzz41, bb), zzz442, zzz443, zzz444)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Neg(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), bb) → new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, bb)
new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBalBranch(zzz1311, zzz1312, zzz1314, new_mkVBalBranch1(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), cf), ty_Bool, cf)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Neg(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_splitGT40(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10920, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz13820, cf)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105900), zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Succ(zzz104700), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz104700, bb)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusInt1(zzz16630, Pos(zzz17170)) → new_primMinusNat0(zzz17170, zzz16630)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2016, cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, zzz2016, zzz201000, cc, cd)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138500, Zero, cf)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20510), zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20510, zzz203700, cc, cd)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Succ(zzz20110), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz20110, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), bb) → new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT0(EmptyFM, be) → new_splitGT40(be)
new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Succ(zzz105700), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz105700, bb)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_addToFM_C2(EmptyFM, zzz41, bb) → Branch(True, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_primPlusInt1(zzz16630, Neg(zzz17170)) → Neg(new_primPlusNat1(zzz16630, zzz17170))
new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz104900), zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_primPlusInt2(Neg(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt1(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Succ(zzz107000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz107000, bb)
new_addToFM(zzz44, zzz41, bb) → new_addToFM_C2(zzz44, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Pos(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz10900, bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20260), cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz104500), zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13880, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, bb)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz138800), zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Succ(zzz107800), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz107800, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), bb) → new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd)
new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, bb)
new_splitLT40(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Succ(zzz106500), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz106500, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108800), zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), bb) → new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_addToFM0(zzz441, zzz41, bb) → zzz41
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), db)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), bb) → new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_splitGT1(zzz41, zzz42, zzz44, bb) → new_mkVBalBranch2(zzz41, new_splitGT40(bb), zzz44, bb)
new_splitLT5(Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108400), zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, Branch(zzz19250, zzz19251, zzz19252, zzz19253, zzz19254), zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_sizeFM(zzz19254, cc, cd), new_sizeFM(zzz19253, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz2021000, zzz203500, cc, cd)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), bb) → new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusInt0(zzz16630, Neg(zzz17160)) → new_primMinusNat0(zzz16630, zzz17160)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20520), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_splitGT41(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Neg(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10670, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Succ(zzz138200), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz138200, cf)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBranch(zzz2040, zzz2041, zzz2042, zzz2043, zzz2044, cg, da) → Branch(zzz2041, zzz2042, new_primPlusInt(new_primPlusInt0(Succ(Zero), new_sizeFM(zzz2043, cg, da)), zzz2044, zzz2041, zzz2043, cg, da), zzz2043, zzz2044)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20280), zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz20280, zzz201900, cc, cd)
new_splitLT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_addToFM_C1(Branch(False, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → Branch(False, new_addToFM0(zzz8861, zzz41, bb), zzz8862, zzz8863, zzz8864)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db) → new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), db)
new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_primMinusNat0(Succ(zzz86900), Zero) → Pos(Succ(zzz86900))
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_sizeFM(EmptyFM, de, df) → Pos(Zero)
new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Succ(zzz20230), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz20230, cc, cd)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, bb)
new_primMulNat2(Succ(zzz202200)) → new_primPlusNat1(new_primPlusNat1(Zero, Succ(zzz202200)), Succ(zzz202200))
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Succ(zzz109000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz109000, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1731, Branch(zzz1721, zzz1722, Neg(Succ(zzz1723)), zzz1724, zzz1725), Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), zzz19250, zzz19251, zzz19253, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), zzz2230, zzz2231, zzz19254, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104600, Zero, bb)
new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_primMulNat2(Zero) → Zero
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20140), cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), bb) → new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, zzz462, zzz463, zzz464), EmptyFM, bb) → new_addToFM(Branch(zzz460, zzz461, zzz462, zzz463, zzz464), zzz41, bb)
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, bb)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Succ(zzz20350), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, zzz20350, cc, cd)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, bb)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz194200)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Neg(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT3(zzz41, zzz42, zzz43, bb) → new_mkVBalBranch1(zzz41, zzz43, new_splitLT41(bb), bb)
new_splitLT5(EmptyFM, ca) → new_splitLT41(ca)
new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2046, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1700, Branch(zzz1690, zzz1691, Pos(Succ(zzz1692)), zzz1693, zzz1694), Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), ty_Bool, dg)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2027, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_primMulNat(Zero) → Zero
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), bb) → new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Zero, zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20170), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Neg(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz2019000, zzz202300, cc, cd)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Pos(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz10650, bb)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, EmptyFM, zzz22344, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), dd)
new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Zero, db)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), bb) → new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz138400), zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Pos(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz10510, bb)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20310), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz20310, cc, cd)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_addToFM_C1(EmptyFM, zzz41, bb) → Branch(False, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20530), cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20530, Zero, cc, cd)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20490), cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2012, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, ce)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, bb)
new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10840, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10880, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), bb) → new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz107200), zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Pos(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz10470, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), dg) → new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, dg)
new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2024, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, Branch(zzz22340, zzz22341, zzz22342, zzz22343, zzz22344), cc, cd) → new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_sizeFM(zzz22343, cc, cd), new_sizeFM(zzz22344, cc, cd), cc, cd)
new_splitLT1(zzz41, zzz42, zzz44, bb) → new_splitLT40(bb)
new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10450, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Neg(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2015, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_addToFM1(zzz886, zzz41, bb) → new_addToFM_C1(zzz886, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105300), zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, bb)
new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2028, cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, zzz2028, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch1(zzz41, EmptyFM, zzz886, bb) → new_addToFM1(zzz886, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), dd) → new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, dd)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20160), zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz20160, zzz201000, cc, cd)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be) → new_splitGT24(zzz510, zzz511, zzz512, zzz513, be)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, Branch(zzz223430, zzz223431, zzz223432, zzz223433, zzz223434), zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), zzz223430, zzz223431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), zzz2230, zzz2231, zzz1925, zzz223433, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), zzz22340, zzz22341, zzz223434, zzz22344, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), bb) → new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz2010000, zzz201100, cc, cd)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20290), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20320), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108100, Zero, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), bb) → new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2037000, zzz204500, cc, cd)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), dc) → new_mkBalBranch(zzz1721, zzz1722, zzz1724, new_mkVBalBranch2(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), dc), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitGT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), de, df) → zzz9742
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, bb)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Succ(zzz19420000)))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Succ(zzz105100), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz105100, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108500, Zero, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), bb) → new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Neg(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2050, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Succ(zzz108200), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz108200, bb)
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Zero)), zzz22340, zzz22341, new_mkBranch(Succ(Succ(Succ(Zero))), zzz2230, zzz2231, zzz1925, zzz22343, cc, cd), zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20480), cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz20480, cc, cd)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Neg(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, EmptyFM, zzz2234, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20300), cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz20300, Zero, cc, cd)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_addToFM_C2(Branch(False, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → new_mkBalBranch(False, zzz441, zzz443, new_addToFM_C2(zzz444, zzz41, bb), ty_Bool, bb)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz10820, bb)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), ce) → new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13840, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), cf) → new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Neg(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat2(Zero) → Zero
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz108000), zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), bb) → new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_mkVBalBranch1(zzz1928, zzz1930, new_splitLT5(zzz1931, ca), ca)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_emptyFM(h) → EmptyFM
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Pos(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz10780, bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, cf)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_splitLT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), ce) → new_mkBalBranch(zzz1330, zzz1331, new_mkVBalBranch1(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, ce), zzz1334, ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, ce)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10720, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), bb) → new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Succ(zzz138600), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz138600, ce)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2051, cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2051, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Zero))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_splitGT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105400, Zero, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), bb) → new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Neg(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), bb) → new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_primMinusNat0(Zero, Succ(zzz23200)) → Neg(Succ(zzz23200))
new_primPlusInt(Pos(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt0(zzz20470, new_sizeFM(zzz2044, cg, da))
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), cf) → new_mkBalBranch(zzz1316, zzz1317, new_mkVBalBranch1(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, cf), zzz1320, ty_Bool, cf)
new_splitGT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10490, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108900, Zero, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Neg(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, Branch(zzz192540, zzz192541, zzz192542, zzz192543, zzz192544), zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), zzz192540, zzz192541, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), zzz19250, zzz19251, zzz19253, zzz192543, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), zzz2230, zzz2231, zzz192544, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), cf) → new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), bb) → new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20250), cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20250, cc, cd)
new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz10430, bb)
new_addToFM_C1(Branch(True, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → new_mkBalBranch(True, zzz8861, new_addToFM_C1(zzz8863, zzz41, bb), zzz8864, ty_Bool, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat1(Zero, Zero) → Zero
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Pos(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz13860, ce)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), bb) → new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz109200), zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_splitLT5(Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), EmptyFM, bb) → new_addToFM1(Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz41, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, bb)
new_primPlusInt(Neg(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt1(zzz20470, new_sizeFM(zzz2044, cg, da))
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_splitLT41(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd) → new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), dd)
new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), cf) → new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, cf)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, bb)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Pos(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz10700, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), dd) → new_mkBalBranch(zzz597, zzz598, new_mkVBalBranch2(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, dd), zzz601, ty_Bool, dd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Pos(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz10570, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106800, Zero, bb)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, EmptyFM, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), dc) → new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, dc)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_primMinusNat0(Succ(zzz86900), Succ(zzz23200)) → new_primMinusNat0(zzz86900, zzz23200)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)

The set Q consists of the following terms:

new_mkBalBranch6MkBalBranch32(x0, x1, x2, x3, x4, x5)
new_splitGT0(Branch(True, x0, x1, x2, x3), x4)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Zero, x5, x6)
new_primPlusInt(Neg(x0), x1, x2, x3, x4, x5)
new_splitLT5(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1155(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch2(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_splitLT41(x0)
new_primMulNat0(x0)
new_primPlusNat2(Succ(x0))
new_intersectFM_C2Gts(x0, x1, x2, x3, x4)
new_primMinusNat0(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_splitLT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1269(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1294(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_splitLT22(x0, x1, x2, x3, x4)
new_splitGT1(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1148(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch114(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_primPlusNat1(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1187(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_splitLT24(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1247(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(True, x3, x4, x5, x6), x7)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusNat3(x0, Succ(x1))
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Succ(x4)), x5, x6)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1196(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1211(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1170(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_splitLT40(x0)
new_primMinusNat0(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1202(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch1111(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_primPlusInt2(Neg(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch31(x0, x1, Branch(x2, x3, x4, x5, x6), x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch115(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_primPlusNat1(Succ(x0), Succ(x1))
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Succ(x7), x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_primMulNat(Zero)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch48(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Zero)), x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_primMinusNat0(Succ(x0), Succ(x1))
new_primPlusNat2(Zero)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1154(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_addToFM_C2(EmptyFM, x0, x1)
new_primMulNat2(Succ(x0))
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch2(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1244(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1189(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_primPlusInt1(x0, Neg(x1))
new_mkBalBranch6MkBalBranch013(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1298(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_primPlusNat3(x0, Zero)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1218(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_splitGT3(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_sizeFM(EmptyFM, x0, x1)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_primMulNat(Succ(x0))
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkBalBranch6MkBalBranch45(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primPlusNat1(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1243(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1245(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkVBalBranch3MkVBalBranch1167(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1279(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_intersectFM_C2Lts0(x0, x1, x2, x3, x4)
new_addToFM_C1(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_primMulNat1(x0)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch44(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1249(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1159(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusInt1(x0, Pos(x1))
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_splitLT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1163(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_primPlusInt(Pos(x0), x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1181(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Succ(x4)))), x5, x6)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_intersectFM_C2Gts0(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch38(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch1112(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkVBalBranch3MkVBalBranch1142(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_splitLT5(Branch(True, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1230(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1255(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1151(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1192(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1186(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1143(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1158(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkBalBranch6MkBalBranch012(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch116(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_primPlusInt0(x0, Pos(x1))
new_primPlusInt2(Pos(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1147(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_addToFM0(x0, x1, x2)
new_splitLT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch414(x0, x1, x2, x3, x4, x5, x6, x7)
new_primPlusNat1(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Zero, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch1(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch118(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1214(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkBalBranch6MkBalBranch411(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1168(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch47(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_splitLT1(x0, x1, x2, x3)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1141(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_addToFM_C1(EmptyFM, x0, x1)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Zero))), x4, x5)
new_splitLT0(EmptyFM, x0)
new_splitLT3(x0, x1, x2, x3)
new_splitLT5(EmptyFM, x0)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_splitLT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_addToFM1(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_addToFM_C2(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1182(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primPlusInt0(x0, Neg(x1))
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(EmptyFM, x0)
new_mkVBalBranch1(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1302(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1191(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_primMinusNat0(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_splitGT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch36(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch31(x0, x1, EmptyFM, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT24(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_splitGT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_splitGT41(x0)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1288(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch313(x0, x1, x2, x3, x4, x5, x6, x7)
new_splitGT40(x0)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1152(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_splitGT22(x0, x1, x2, EmptyFM, x3)
new_mkVBalBranch3MkVBalBranch226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkBalBranch6MkBalBranch51(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_emptyFM(x0)
new_mkBalBranch6MkBalBranch310(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1263(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(False, x3, x4, x5, x6), x7)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_addToFM_C1(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1185(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkBalBranch6MkBalBranch33(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_intersectFM_C2Lts(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1295(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_addToFM(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1312(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch415(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primMulNat2(Zero)
new_mkVBalBranch3MkVBalBranch1287(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch34(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, EmptyFM, x3, x4)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_addToFM_C2(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1169(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1240(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitLT0(Branch(True, x0, x1, x2, x3), x4)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, EmptyFM), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT3(zzz41, zzz42, zzz43, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C1(zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44, zzz3, zzz51, zzz52, zzz53, zzz54, zzz430, zzz431, zzz432, zzz433, zzz434, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, Branch(zzz5220, zzz5221, zzz5222, zzz5223, zzz5224), zzz523, bc, bd, be, bf) → new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, zzz5220, zzz5221, zzz5222, zzz5223, zzz5224, bc, bd, be, bf)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz53, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444)), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C10(zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444), zzz3, zzz51, zzz52, zzz53, zzz54, zzz440, zzz441, zzz442, zzz443, zzz444, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, EmptyFM, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT1(zzz41, zzz42, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, Branch(zzz19410, zzz19411, zzz19412, zzz19413, zzz19414), bg, bh, ca, cb) → new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, zzz19410, zzz19411, zzz19412, zzz19413, zzz19414, bg, bh, ca, cb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)

The TRS R consists of the following rules:

new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20130), cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20130, cc, cd)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), dg) → new_mkBalBranch(zzz1690, zzz1691, zzz1693, new_mkVBalBranch2(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), dg), ty_Bool, dg)
new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT24(zzz510, zzz511, zzz512, zzz513, be)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz1925, cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT24(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT0(zzz512, be)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_primPlusInt2(Pos(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt0(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Succ(zzz104300), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz104300, bb)
new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_splitGT3(zzz41, zzz42, zzz43, bb) → new_splitGT41(bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), db) → new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, db)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20360), zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20360, zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_splitGT22(zzz1928, zzz1929, zzz1930, EmptyFM, ca) → new_splitGT41(ca)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, EmptyFM, zzz2234, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_primPlusInt0(zzz16630, Pos(zzz17160)) → Pos(new_primPlusNat1(zzz16630, zzz17160))
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Succ(zzz108600), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz108600, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), bb) → new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Pos(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz10860, bb)
new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBalBranch(zzz1325, zzz1326, zzz1328, new_mkVBalBranch1(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ce), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), ce) → new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Zero)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, new_primPlusInt2(new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10530, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz105000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_splitGT24(zzz510, zzz511, zzz512, zzz513, be) → new_mkVBalBranch2(zzz510, new_splitGT0(zzz512, be), zzz513, be)
new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Succ(Zero), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), ce) → new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, ce)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138900, Zero, ce)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20330), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch2(zzz41, EmptyFM, zzz44, bb) → new_addToFM(zzz44, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, zzz2009, cc, cd) → new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2009, cc, cd)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10590, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, bb)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Succ(zzz20450), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz20450, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_splitLT0(EmptyFM, be) → new_splitLT40(be)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10800, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz106700), zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), db) → new_mkBalBranch(zzz687, zzz688, new_mkVBalBranch2(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, db), zzz691, ty_Bool, db)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20180), cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz20180, Zero, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20340), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20340, Zero, cc, cd)
new_addToFM_C2(Branch(True, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → Branch(True, new_addToFM0(zzz441, zzz41, bb), zzz442, zzz443, zzz444)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Neg(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), bb) → new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, bb)
new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBalBranch(zzz1311, zzz1312, zzz1314, new_mkVBalBranch1(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), cf), ty_Bool, cf)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Neg(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_splitGT40(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10920, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz13820, cf)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105900), zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Succ(zzz104700), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz104700, bb)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusInt1(zzz16630, Pos(zzz17170)) → new_primMinusNat0(zzz17170, zzz16630)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2016, cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, zzz2016, zzz201000, cc, cd)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138500, Zero, cf)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20510), zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20510, zzz203700, cc, cd)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Succ(zzz20110), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz20110, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), bb) → new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT0(EmptyFM, be) → new_splitGT40(be)
new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Succ(zzz105700), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz105700, bb)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_addToFM_C2(EmptyFM, zzz41, bb) → Branch(True, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_primPlusInt1(zzz16630, Neg(zzz17170)) → Neg(new_primPlusNat1(zzz16630, zzz17170))
new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz104900), zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_primPlusInt2(Neg(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt1(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Succ(zzz107000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz107000, bb)
new_addToFM(zzz44, zzz41, bb) → new_addToFM_C2(zzz44, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Pos(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz10900, bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20260), cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz104500), zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13880, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, bb)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz138800), zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Succ(zzz107800), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz107800, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), bb) → new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd)
new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, bb)
new_splitLT40(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Succ(zzz106500), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz106500, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108800), zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), bb) → new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_addToFM0(zzz441, zzz41, bb) → zzz41
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), db)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), bb) → new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_splitGT1(zzz41, zzz42, zzz44, bb) → new_mkVBalBranch2(zzz41, new_splitGT40(bb), zzz44, bb)
new_splitLT5(Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108400), zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, Branch(zzz19250, zzz19251, zzz19252, zzz19253, zzz19254), zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_sizeFM(zzz19254, cc, cd), new_sizeFM(zzz19253, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz2021000, zzz203500, cc, cd)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), bb) → new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusInt0(zzz16630, Neg(zzz17160)) → new_primMinusNat0(zzz16630, zzz17160)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20520), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_splitGT41(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Neg(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10670, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Succ(zzz138200), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz138200, cf)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBranch(zzz2040, zzz2041, zzz2042, zzz2043, zzz2044, cg, da) → Branch(zzz2041, zzz2042, new_primPlusInt(new_primPlusInt0(Succ(Zero), new_sizeFM(zzz2043, cg, da)), zzz2044, zzz2041, zzz2043, cg, da), zzz2043, zzz2044)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20280), zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz20280, zzz201900, cc, cd)
new_splitLT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_addToFM_C1(Branch(False, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → Branch(False, new_addToFM0(zzz8861, zzz41, bb), zzz8862, zzz8863, zzz8864)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db) → new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), db)
new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_primMinusNat0(Succ(zzz86900), Zero) → Pos(Succ(zzz86900))
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_sizeFM(EmptyFM, de, df) → Pos(Zero)
new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Succ(zzz20230), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz20230, cc, cd)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, bb)
new_primMulNat2(Succ(zzz202200)) → new_primPlusNat1(new_primPlusNat1(Zero, Succ(zzz202200)), Succ(zzz202200))
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Succ(zzz109000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz109000, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1731, Branch(zzz1721, zzz1722, Neg(Succ(zzz1723)), zzz1724, zzz1725), Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), zzz19250, zzz19251, zzz19253, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), zzz2230, zzz2231, zzz19254, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104600, Zero, bb)
new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_primMulNat2(Zero) → Zero
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20140), cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), bb) → new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, zzz462, zzz463, zzz464), EmptyFM, bb) → new_addToFM(Branch(zzz460, zzz461, zzz462, zzz463, zzz464), zzz41, bb)
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, bb)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Succ(zzz20350), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, zzz20350, cc, cd)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, bb)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz194200)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Neg(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT3(zzz41, zzz42, zzz43, bb) → new_mkVBalBranch1(zzz41, zzz43, new_splitLT41(bb), bb)
new_splitLT5(EmptyFM, ca) → new_splitLT41(ca)
new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2046, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1700, Branch(zzz1690, zzz1691, Pos(Succ(zzz1692)), zzz1693, zzz1694), Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), ty_Bool, dg)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2027, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_primMulNat(Zero) → Zero
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), bb) → new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Zero, zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20170), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Neg(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz2019000, zzz202300, cc, cd)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Pos(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz10650, bb)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, EmptyFM, zzz22344, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), dd)
new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Zero, db)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), bb) → new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz138400), zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Pos(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz10510, bb)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20310), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz20310, cc, cd)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_addToFM_C1(EmptyFM, zzz41, bb) → Branch(False, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20530), cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20530, Zero, cc, cd)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20490), cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2012, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, ce)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, bb)
new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10840, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10880, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), bb) → new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz107200), zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Pos(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz10470, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), dg) → new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, dg)
new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2024, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, Branch(zzz22340, zzz22341, zzz22342, zzz22343, zzz22344), cc, cd) → new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_sizeFM(zzz22343, cc, cd), new_sizeFM(zzz22344, cc, cd), cc, cd)
new_splitLT1(zzz41, zzz42, zzz44, bb) → new_splitLT40(bb)
new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10450, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Neg(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2015, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_addToFM1(zzz886, zzz41, bb) → new_addToFM_C1(zzz886, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105300), zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, bb)
new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2028, cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, zzz2028, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch1(zzz41, EmptyFM, zzz886, bb) → new_addToFM1(zzz886, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), dd) → new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, dd)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20160), zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz20160, zzz201000, cc, cd)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be) → new_splitGT24(zzz510, zzz511, zzz512, zzz513, be)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, Branch(zzz223430, zzz223431, zzz223432, zzz223433, zzz223434), zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), zzz223430, zzz223431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), zzz2230, zzz2231, zzz1925, zzz223433, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), zzz22340, zzz22341, zzz223434, zzz22344, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), bb) → new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz2010000, zzz201100, cc, cd)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20290), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20320), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108100, Zero, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), bb) → new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2037000, zzz204500, cc, cd)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), dc) → new_mkBalBranch(zzz1721, zzz1722, zzz1724, new_mkVBalBranch2(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), dc), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitGT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), de, df) → zzz9742
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, bb)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Succ(zzz19420000)))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Succ(zzz105100), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz105100, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108500, Zero, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), bb) → new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Neg(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2050, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Succ(zzz108200), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz108200, bb)
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Zero)), zzz22340, zzz22341, new_mkBranch(Succ(Succ(Succ(Zero))), zzz2230, zzz2231, zzz1925, zzz22343, cc, cd), zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20480), cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz20480, cc, cd)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Neg(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, EmptyFM, zzz2234, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20300), cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz20300, Zero, cc, cd)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_addToFM_C2(Branch(False, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → new_mkBalBranch(False, zzz441, zzz443, new_addToFM_C2(zzz444, zzz41, bb), ty_Bool, bb)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz10820, bb)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), ce) → new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13840, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), cf) → new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Neg(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat2(Zero) → Zero
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz108000), zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), bb) → new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_mkVBalBranch1(zzz1928, zzz1930, new_splitLT5(zzz1931, ca), ca)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_emptyFM(h) → EmptyFM
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Pos(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz10780, bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, cf)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_splitLT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), ce) → new_mkBalBranch(zzz1330, zzz1331, new_mkVBalBranch1(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, ce), zzz1334, ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, ce)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10720, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), bb) → new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Succ(zzz138600), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz138600, ce)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2051, cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2051, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Zero))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_splitGT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105400, Zero, bb)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), bb) → new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Neg(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), bb) → new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_primMinusNat0(Zero, Succ(zzz23200)) → Neg(Succ(zzz23200))
new_primPlusInt(Pos(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt0(zzz20470, new_sizeFM(zzz2044, cg, da))
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), cf) → new_mkBalBranch(zzz1316, zzz1317, new_mkVBalBranch1(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, cf), zzz1320, ty_Bool, cf)
new_splitGT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10490, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108900, Zero, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Neg(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, Branch(zzz192540, zzz192541, zzz192542, zzz192543, zzz192544), zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), zzz192540, zzz192541, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), zzz19250, zzz19251, zzz19253, zzz192543, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), zzz2230, zzz2231, zzz192544, zzz2234, cc, cd), cc, cd)
new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), cf) → new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), bb) → new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20250), cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20250, cc, cd)
new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz10430, bb)
new_addToFM_C1(Branch(True, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → new_mkBalBranch(True, zzz8861, new_addToFM_C1(zzz8863, zzz41, bb), zzz8864, ty_Bool, bb)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_primPlusNat1(Zero, Zero) → Zero
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Pos(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz13860, ce)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), bb) → new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz109200), zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_splitLT5(Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), EmptyFM, bb) → new_addToFM1(Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz41, bb)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, bb)
new_primPlusInt(Neg(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt1(zzz20470, new_sizeFM(zzz2044, cg, da))
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_splitLT41(bb) → new_emptyFM(bb)
new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd) → new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), dd)
new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), cf) → new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, cf)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, bb)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Pos(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz10700, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), dd) → new_mkBalBranch(zzz597, zzz598, new_mkVBalBranch2(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, dd), zzz601, ty_Bool, dd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Pos(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz10570, bb)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106800, Zero, bb)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, EmptyFM, cc, cd) → error([])
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), dc) → new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, dc)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_primMinusNat0(Succ(zzz86900), Succ(zzz23200)) → new_primMinusNat0(zzz86900, zzz23200)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)

The set Q consists of the following terms:

new_mkBalBranch6MkBalBranch32(x0, x1, x2, x3, x4, x5)
new_splitGT0(Branch(True, x0, x1, x2, x3), x4)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Zero, x5, x6)
new_primPlusInt(Neg(x0), x1, x2, x3, x4, x5)
new_splitLT5(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1155(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch2(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_splitLT41(x0)
new_primMulNat0(x0)
new_primPlusNat2(Succ(x0))
new_intersectFM_C2Gts(x0, x1, x2, x3, x4)
new_primMinusNat0(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_splitLT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1269(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1294(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_splitLT22(x0, x1, x2, x3, x4)
new_splitGT1(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1148(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch114(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_primPlusNat1(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1187(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_splitLT24(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1247(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(True, x3, x4, x5, x6), x7)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusNat3(x0, Succ(x1))
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Succ(x4)), x5, x6)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1196(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1211(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1170(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_splitLT40(x0)
new_primMinusNat0(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1202(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch1111(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_primPlusInt2(Neg(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch31(x0, x1, Branch(x2, x3, x4, x5, x6), x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch115(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_primPlusNat1(Succ(x0), Succ(x1))
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Succ(x7), x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_primMulNat(Zero)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch48(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Zero)), x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_primMinusNat0(Succ(x0), Succ(x1))
new_primPlusNat2(Zero)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1154(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_addToFM_C2(EmptyFM, x0, x1)
new_primMulNat2(Succ(x0))
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch2(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1244(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1189(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_primPlusInt1(x0, Neg(x1))
new_mkBalBranch6MkBalBranch013(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1298(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_primPlusNat3(x0, Zero)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1218(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_splitGT3(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_sizeFM(EmptyFM, x0, x1)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_primMulNat(Succ(x0))
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkBalBranch6MkBalBranch45(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primPlusNat1(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1243(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1245(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkVBalBranch3MkVBalBranch1167(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1279(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_intersectFM_C2Lts0(x0, x1, x2, x3, x4)
new_addToFM_C1(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_primMulNat1(x0)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch44(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1249(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1159(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusInt1(x0, Pos(x1))
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_splitLT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1163(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_primPlusInt(Pos(x0), x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1181(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Succ(x4)))), x5, x6)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_intersectFM_C2Gts0(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch38(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch1112(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkVBalBranch3MkVBalBranch1142(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_splitLT5(Branch(True, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1230(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1255(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1151(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1192(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1186(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1143(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1158(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkBalBranch6MkBalBranch012(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch116(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_primPlusInt0(x0, Pos(x1))
new_primPlusInt2(Pos(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1147(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_addToFM0(x0, x1, x2)
new_splitLT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch414(x0, x1, x2, x3, x4, x5, x6, x7)
new_primPlusNat1(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Zero, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch1(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch118(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1214(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkBalBranch6MkBalBranch411(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1168(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch47(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_splitLT1(x0, x1, x2, x3)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1141(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_addToFM_C1(EmptyFM, x0, x1)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Zero))), x4, x5)
new_splitLT0(EmptyFM, x0)
new_splitLT3(x0, x1, x2, x3)
new_splitLT5(EmptyFM, x0)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_splitLT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_addToFM1(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_addToFM_C2(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1182(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primPlusInt0(x0, Neg(x1))
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(EmptyFM, x0)
new_mkVBalBranch1(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1302(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1191(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_primMinusNat0(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_splitGT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch36(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch31(x0, x1, EmptyFM, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT24(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_splitGT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_splitGT41(x0)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1288(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch313(x0, x1, x2, x3, x4, x5, x6, x7)
new_splitGT40(x0)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1152(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_splitGT22(x0, x1, x2, EmptyFM, x3)
new_mkVBalBranch3MkVBalBranch226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkBalBranch6MkBalBranch51(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_emptyFM(x0)
new_mkBalBranch6MkBalBranch310(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1263(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(False, x3, x4, x5, x6), x7)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_addToFM_C1(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1185(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkBalBranch6MkBalBranch33(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_intersectFM_C2Lts(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1295(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_addToFM(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1312(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch415(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primMulNat2(Zero)
new_mkVBalBranch3MkVBalBranch1287(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch34(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, EmptyFM, x3, x4)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_addToFM_C2(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1169(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1240(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitLT0(Branch(True, x0, x1, x2, x3), x4)

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ QReductionProof

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, EmptyFM), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT3(zzz41, zzz42, zzz43, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C1(zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44, zzz3, zzz51, zzz52, zzz53, zzz54, zzz430, zzz431, zzz432, zzz433, zzz434, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, Branch(zzz5220, zzz5221, zzz5222, zzz5223, zzz5224), zzz523, bc, bd, be, bf) → new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, zzz5220, zzz5221, zzz5222, zzz5223, zzz5224, bc, bd, be, bf)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz53, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444)), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C10(zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444), zzz3, zzz51, zzz52, zzz53, zzz54, zzz440, zzz441, zzz442, zzz443, zzz444, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, EmptyFM, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT1(zzz41, zzz42, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, Branch(zzz19410, zzz19411, zzz19412, zzz19413, zzz19414), bg, bh, ca, cb) → new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, zzz19410, zzz19411, zzz19412, zzz19413, zzz19414, bg, bh, ca, cb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)

The TRS R consists of the following rules:

new_splitGT1(zzz41, zzz42, zzz44, bb) → new_mkVBalBranch2(zzz41, new_splitGT40(bb), zzz44, bb)
new_splitGT40(bb) → new_emptyFM(bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch2(zzz41, EmptyFM, zzz44, bb) → new_addToFM(zzz44, zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, zzz462, zzz463, zzz464), EmptyFM, bb) → new_addToFM(Branch(zzz460, zzz461, zzz462, zzz463, zzz464), zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkBranch(zzz2040, zzz2041, zzz2042, zzz2043, zzz2044, cg, da) → Branch(zzz2041, zzz2042, new_primPlusInt(new_primPlusInt0(Succ(Zero), new_sizeFM(zzz2043, cg, da)), zzz2044, zzz2041, zzz2043, cg, da), zzz2043, zzz2044)
new_sizeFM(EmptyFM, de, df) → Pos(Zero)
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), de, df) → zzz9742
new_primPlusInt0(zzz16630, Pos(zzz17160)) → Pos(new_primPlusNat1(zzz16630, zzz17160))
new_primPlusInt0(zzz16630, Neg(zzz17160)) → new_primMinusNat0(zzz16630, zzz17160)
new_primPlusInt(Pos(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt0(zzz20470, new_sizeFM(zzz2044, cg, da))
new_primPlusInt(Neg(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt1(zzz20470, new_sizeFM(zzz2044, cg, da))
new_primPlusInt1(zzz16630, Pos(zzz17170)) → new_primMinusNat0(zzz17170, zzz16630)
new_primPlusInt1(zzz16630, Neg(zzz17170)) → Neg(new_primPlusNat1(zzz16630, zzz17170))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero
new_primMinusNat0(Succ(zzz86900), Zero) → Pos(Succ(zzz86900))
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_primMinusNat0(Zero, Succ(zzz23200)) → Neg(Succ(zzz23200))
new_primMinusNat0(Succ(zzz86900), Succ(zzz23200)) → new_primMinusNat0(zzz86900, zzz23200)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), db) → new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, db)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), db) → new_mkBalBranch(zzz687, zzz688, new_mkVBalBranch2(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, db), zzz691, ty_Bool, db)
new_mkBalBranch(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, new_primPlusInt2(new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz1925, cc, cd)
new_primPlusInt2(Pos(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt0(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_primPlusInt2(Neg(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt1(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Zero)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz194200)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Succ(zzz19420000)))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Zero))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, zzz2009, cc, cd) → new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2009, cc, cd)
new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat(Zero) → Zero
new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2012, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, Branch(zzz22340, zzz22341, zzz22342, zzz22343, zzz22344), cc, cd) → new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_sizeFM(zzz22343, cc, cd), new_sizeFM(zzz22344, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, EmptyFM, cc, cd) → error([])
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), zzz202100, cc, cd)
new_primMulNat2(Succ(zzz202200)) → new_primPlusNat1(new_primPlusNat1(Zero, Succ(zzz202200)), Succ(zzz202200))
new_primMulNat2(Zero) → Zero
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20360), zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20360, zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Zero)), zzz22340, zzz22341, new_mkBranch(Succ(Succ(Succ(Zero))), zzz2230, zzz2231, zzz1925, zzz22343, cc, cd), zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz2021000, zzz203500, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, EmptyFM, zzz22344, cc, cd) → error([])
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, Branch(zzz223430, zzz223431, zzz223432, zzz223433, zzz223434), zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), zzz223430, zzz223431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), zzz2230, zzz2231, zzz1925, zzz223433, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), zzz22340, zzz22341, zzz223434, zzz22344, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20310), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz20310, cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Succ(zzz20350), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, zzz20350, cc, cd)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20330), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20320), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20340), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20340, Zero, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20130), cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20130, cc, cd)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20300), cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz20300, Zero, cc, cd)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, EmptyFM, zzz2234, cc, cd) → error([])
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, Branch(zzz19250, zzz19251, zzz19252, zzz19253, zzz19254), zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_sizeFM(zzz19254, cc, cd), new_sizeFM(zzz19253, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2046, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, EmptyFM, zzz2234, cc, cd) → error([])
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, Branch(zzz192540, zzz192541, zzz192542, zzz192543, zzz192544), zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), zzz192540, zzz192541, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), zzz19250, zzz19251, zzz19253, zzz192543, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), zzz2230, zzz2231, zzz192544, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20520), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), zzz19250, zzz19251, zzz19253, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), zzz2230, zzz2231, zzz19254, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Succ(zzz20450), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz20450, cc, cd)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2037000, zzz204500, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2050, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20530), cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20530, Zero, cc, cd)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20490), cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20480), cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz20480, cc, cd)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2051, cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2051, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20510), zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20510, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Succ(Zero), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2028, cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, zzz2028, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20280), zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz20280, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz2019000, zzz202300, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Succ(zzz20230), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz20230, cc, cd)
new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2024, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20290), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20260), cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20250), cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20250, cc, cd)
new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2027, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20140), cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20180), cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz20180, Zero, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20170), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2015, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Succ(zzz20110), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz20110, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz2010000, zzz201100, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2016, cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, zzz2016, zzz201000, cc, cd)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20160), zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz20160, zzz201000, cc, cd)
new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Zero, zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db) → new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), db)
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), db)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Zero, db)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1731, Branch(zzz1721, zzz1722, Neg(Succ(zzz1723)), zzz1724, zzz1725), Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), dc) → new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), dc) → new_mkBalBranch(zzz1721, zzz1722, zzz1724, new_mkVBalBranch2(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), dc), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat2(Zero) → Zero
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_addToFM(zzz44, zzz41, bb) → new_addToFM_C2(zzz44, zzz41, bb)
new_addToFM_C2(Branch(True, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → Branch(True, new_addToFM0(zzz441, zzz41, bb), zzz442, zzz443, zzz444)
new_addToFM_C2(EmptyFM, zzz41, bb) → Branch(True, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_addToFM_C2(Branch(False, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → new_mkBalBranch(False, zzz441, zzz443, new_addToFM_C2(zzz444, zzz41, bb), ty_Bool, bb)
new_emptyFM(h) → EmptyFM
new_addToFM0(zzz441, zzz41, bb) → zzz41
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), dd) → new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), dd) → new_mkBalBranch(zzz597, zzz598, new_mkVBalBranch2(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, dd), zzz601, ty_Bool, dd)
new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd) → new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), dd)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), dg) → new_mkBalBranch(zzz1690, zzz1691, zzz1693, new_mkVBalBranch2(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), dg), ty_Bool, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), dg) → new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1700, Branch(zzz1690, zzz1691, Pos(Succ(zzz1692)), zzz1693, zzz1694), Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), ty_Bool, dg)
new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitGT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, EmptyFM, ca) → new_splitGT41(ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_splitGT41(bb) → new_emptyFM(bb)
new_splitGT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitGT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb)
new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb)
new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_splitLT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitLT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_mkVBalBranch1(zzz1928, zzz1930, new_splitLT5(zzz1931, ca), ca)
new_splitLT5(Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitLT5(EmptyFM, ca) → new_splitLT41(ca)
new_splitLT5(Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch1(zzz41, EmptyFM, zzz886, bb) → new_addToFM1(zzz886, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), EmptyFM, bb) → new_addToFM1(Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), bb) → new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10800, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz108000), zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108100, Zero, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), bb) → new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Neg(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Pos(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz10780, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Succ(zzz107800), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz107800, bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), bb) → new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Pos(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz10570, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Succ(zzz105700), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz105700, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), bb) → new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10590, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105900), zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_addToFM1(zzz886, zzz41, bb) → new_addToFM_C1(zzz886, zzz41, bb)
new_addToFM_C1(Branch(False, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → Branch(False, new_addToFM0(zzz8861, zzz41, bb), zzz8862, zzz8863, zzz8864)
new_addToFM_C1(EmptyFM, zzz41, bb) → Branch(False, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_addToFM_C1(Branch(True, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → new_mkBalBranch(True, zzz8861, new_addToFM_C1(zzz8863, zzz41, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), bb) → new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10530, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105300), zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105400, Zero, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), bb) → new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Pos(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz10510, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Neg(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Succ(zzz105100), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz105100, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), cf) → new_mkBalBranch(zzz1316, zzz1317, new_mkVBalBranch1(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, cf), zzz1320, ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), cf) → new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, cf)
new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), cf) → new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz13820, cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Neg(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Succ(zzz138200), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz138200, cf)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, cf)
new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBalBranch(zzz1311, zzz1312, zzz1314, new_mkVBalBranch1(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), cf), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), cf) → new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13840, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz138400), zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138500, Zero, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), bb) → new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10720, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz107200), zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), bb) → new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Neg(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Pos(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz10700, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Succ(zzz107000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz107000, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, bb)
new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), bb) → new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10840, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108400), zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108500, Zero, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), bb) → new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Neg(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz10820, bb)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Succ(zzz108200), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz108200, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), bb) → new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz105000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10490, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz104900), zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), bb) → new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Pos(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz10470, bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Neg(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Succ(zzz104700), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz104700, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, bb)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), bb) → new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10450, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz104500), zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, bb)
new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104600, Zero, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), bb) → new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Neg(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz10430, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Succ(zzz104300), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz104300, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), ce) → new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), ce) → new_mkBalBranch(zzz1330, zzz1331, new_mkVBalBranch1(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, ce), zzz1334, ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), ce) → new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBalBranch(zzz1325, zzz1326, zzz1328, new_mkVBalBranch1(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ce), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Neg(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Pos(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz13860, ce)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Succ(zzz138600), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz138600, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), ce) → new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13880, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz138800), zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138900, Zero, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), bb) → new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10920, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz109200), zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), bb) → new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Pos(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz10900, bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Neg(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Succ(zzz109000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz109000, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), bb) → new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Pos(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz10860, bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Neg(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Succ(zzz108600), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz108600, bb)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), bb) → new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10880, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108800), zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108900, Zero, bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), bb) → new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10670, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz106700), zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, bb)
new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106800, Zero, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), bb) → new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Neg(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Pos(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz10650, bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Succ(zzz106500), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz106500, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT41(bb) → new_emptyFM(bb)
new_splitLT3(zzz41, zzz42, zzz43, bb) → new_mkVBalBranch1(zzz41, zzz43, new_splitLT41(bb), bb)
new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be) → new_splitGT24(zzz510, zzz511, zzz512, zzz513, be)
new_splitGT24(zzz510, zzz511, zzz512, zzz513, be) → new_mkVBalBranch2(zzz510, new_splitGT0(zzz512, be), zzz513, be)
new_splitGT0(EmptyFM, be) → new_splitGT40(be)
new_splitGT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT24(zzz510, zzz511, zzz512, zzz513, be)
new_splitLT24(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT0(zzz512, be)
new_splitLT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitLT0(EmptyFM, be) → new_splitLT40(be)
new_splitLT40(bb) → new_emptyFM(bb)

The set Q consists of the following terms:

new_mkBalBranch6MkBalBranch32(x0, x1, x2, x3, x4, x5)
new_splitGT0(Branch(True, x0, x1, x2, x3), x4)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Zero, x5, x6)
new_primPlusInt(Neg(x0), x1, x2, x3, x4, x5)
new_splitLT5(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1155(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch2(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_splitLT41(x0)
new_primMulNat0(x0)
new_primPlusNat2(Succ(x0))
new_intersectFM_C2Gts(x0, x1, x2, x3, x4)
new_primMinusNat0(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_splitLT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1269(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1294(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_splitLT22(x0, x1, x2, x3, x4)
new_splitGT1(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1148(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch114(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_primPlusNat1(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1187(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_splitLT24(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1247(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(True, x3, x4, x5, x6), x7)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusNat3(x0, Succ(x1))
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Succ(x4)), x5, x6)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1196(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1211(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1170(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_splitLT40(x0)
new_primMinusNat0(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1202(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch1111(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_primPlusInt2(Neg(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch31(x0, x1, Branch(x2, x3, x4, x5, x6), x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch115(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_primPlusNat1(Succ(x0), Succ(x1))
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Succ(x7), x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_primMulNat(Zero)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch48(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Zero)), x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_primMinusNat0(Succ(x0), Succ(x1))
new_primPlusNat2(Zero)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1154(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_addToFM_C2(EmptyFM, x0, x1)
new_primMulNat2(Succ(x0))
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch2(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1244(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1189(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_primPlusInt1(x0, Neg(x1))
new_mkBalBranch6MkBalBranch013(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1298(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_primPlusNat3(x0, Zero)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1218(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_splitGT3(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_sizeFM(EmptyFM, x0, x1)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_primMulNat(Succ(x0))
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkBalBranch6MkBalBranch45(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primPlusNat1(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1243(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1245(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkVBalBranch3MkVBalBranch1167(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1279(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_intersectFM_C2Lts0(x0, x1, x2, x3, x4)
new_addToFM_C1(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_primMulNat1(x0)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch44(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1249(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1159(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusInt1(x0, Pos(x1))
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_splitLT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1163(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_primPlusInt(Pos(x0), x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1181(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Succ(x4)))), x5, x6)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_intersectFM_C2Gts0(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch38(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch1112(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkVBalBranch3MkVBalBranch1142(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_splitLT5(Branch(True, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1230(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1255(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1151(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1192(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1186(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1143(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1158(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkBalBranch6MkBalBranch012(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch116(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_primPlusInt0(x0, Pos(x1))
new_primPlusInt2(Pos(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1147(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_addToFM0(x0, x1, x2)
new_splitLT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch414(x0, x1, x2, x3, x4, x5, x6, x7)
new_primPlusNat1(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Zero, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch1(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch118(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1214(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkBalBranch6MkBalBranch411(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1168(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch47(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_splitLT1(x0, x1, x2, x3)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1141(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_addToFM_C1(EmptyFM, x0, x1)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Zero))), x4, x5)
new_splitLT0(EmptyFM, x0)
new_splitLT3(x0, x1, x2, x3)
new_splitLT5(EmptyFM, x0)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_splitLT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_addToFM1(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_addToFM_C2(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1182(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primPlusInt0(x0, Neg(x1))
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(EmptyFM, x0)
new_mkVBalBranch1(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1302(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1191(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_primMinusNat0(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_splitGT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch36(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch31(x0, x1, EmptyFM, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT24(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_splitGT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_splitGT41(x0)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1288(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch313(x0, x1, x2, x3, x4, x5, x6, x7)
new_splitGT40(x0)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1152(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_splitGT22(x0, x1, x2, EmptyFM, x3)
new_mkVBalBranch3MkVBalBranch226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkBalBranch6MkBalBranch51(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_emptyFM(x0)
new_mkBalBranch6MkBalBranch310(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1263(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(False, x3, x4, x5, x6), x7)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_addToFM_C1(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1185(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkBalBranch6MkBalBranch33(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_intersectFM_C2Lts(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1295(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_addToFM(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1312(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch415(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primMulNat2(Zero)
new_mkVBalBranch3MkVBalBranch1287(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch34(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, EmptyFM, x3, x4)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_addToFM_C2(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1169(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1240(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitLT0(Branch(True, x0, x1, x2, x3), x4)

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_splitGT3(x0, x1, x2, x3)
new_splitLT1(x0, x1, x2, x3)



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                    ↳ DependencyGraphProof
                                      ↳ QDP
                                        ↳ UsableRulesProof
                                          ↳ QDP
                                            ↳ QReductionProof
                                              ↳ QDP
                                                ↳ QDPSizeChangeProof

Q DP problem:
The TRS P consists of the following rules:

new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, EmptyFM), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT3(zzz41, zzz42, zzz43, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C1(zzz41, zzz42, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz44, zzz3, zzz51, zzz52, zzz53, zzz54, zzz430, zzz431, zzz432, zzz433, zzz434, h, ba, bb, bb)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, Branch(zzz5220, zzz5221, zzz5222, zzz5223, zzz5224), zzz523, bc, bd, be, bf) → new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, zzz5220, zzz5221, zzz5222, zzz5223, zzz5224, bc, bd, be, bf)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, True, zzz520, zzz521, EmptyFM, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz53, h, ba, bb)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT0(Branch(False, zzz41, zzz42, zzz43, zzz44), bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be), zzz517, bc, bd, be)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, EmptyFM, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1936, bg, bh, ca)
new_intersectFM_C2IntersectFM_C1(zzz510, zzz511, zzz512, zzz513, zzz514, zzz515, zzz516, zzz517, zzz518, False, zzz520, zzz521, zzz522, zzz523, bc, bd, be, bf) → new_intersectFM_C(zzz514, new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be), zzz518, bc, bd, be)
new_intersectFM_C(zzz3, Branch(False, zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444)), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C2IntersectFM_C10(zzz41, zzz42, zzz43, Branch(zzz440, zzz441, zzz442, zzz443, zzz444), zzz3, zzz51, zzz52, zzz53, zzz54, zzz440, zzz441, zzz442, zzz443, zzz444, h, ba, bb, bb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, EmptyFM, zzz44), Branch(False, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitGT1(zzz41, zzz42, zzz44, bb), zzz54, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, False, zzz1938, zzz1939, zzz1940, Branch(zzz19410, zzz19411, zzz19412, zzz19413, zzz19414), bg, bh, ca, cb) → new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, zzz19410, zzz19411, zzz19412, zzz19413, zzz19414, bg, bh, ca, cb)
new_intersectFM_C(zzz3, Branch(True, zzz41, zzz42, zzz43, zzz44), Branch(True, zzz51, zzz52, zzz53, zzz54), h, ba, bb) → new_intersectFM_C(zzz3, new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb), zzz53, h, ba, bb)
new_intersectFM_C2IntersectFM_C10(zzz1928, zzz1929, zzz1930, zzz1931, zzz1932, zzz1933, zzz1934, zzz1935, zzz1936, True, zzz1938, zzz1939, zzz1940, zzz1941, bg, bh, ca, cb) → new_intersectFM_C(zzz1932, new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca), zzz1935, bg, bh, ca)

The TRS R consists of the following rules:

new_splitGT1(zzz41, zzz42, zzz44, bb) → new_mkVBalBranch2(zzz41, new_splitGT40(bb), zzz44, bb)
new_splitGT40(bb) → new_emptyFM(bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch2(zzz41, EmptyFM, zzz44, bb) → new_addToFM(zzz44, zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, zzz462, zzz463, zzz464), EmptyFM, bb) → new_addToFM(Branch(zzz460, zzz461, zzz462, zzz463, zzz464), zzz41, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primMulNat1(zzz44200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), Branch(zzz440, zzz441, zzz442, zzz443, zzz444), bb) → new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz442, zzz443, zzz444, zzz41, new_primMulNat0(zzz46200), bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), ty_Bool, bb)
new_mkBranch(zzz2040, zzz2041, zzz2042, zzz2043, zzz2044, cg, da) → Branch(zzz2041, zzz2042, new_primPlusInt(new_primPlusInt0(Succ(Zero), new_sizeFM(zzz2043, cg, da)), zzz2044, zzz2041, zzz2043, cg, da), zzz2043, zzz2044)
new_sizeFM(EmptyFM, de, df) → Pos(Zero)
new_sizeFM(Branch(zzz9740, zzz9741, zzz9742, zzz9743, zzz9744), de, df) → zzz9742
new_primPlusInt0(zzz16630, Pos(zzz17160)) → Pos(new_primPlusNat1(zzz16630, zzz17160))
new_primPlusInt0(zzz16630, Neg(zzz17160)) → new_primMinusNat0(zzz16630, zzz17160)
new_primPlusInt(Pos(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt0(zzz20470, new_sizeFM(zzz2044, cg, da))
new_primPlusInt(Neg(zzz20470), zzz2044, zzz2041, zzz2043, cg, da) → new_primPlusInt1(zzz20470, new_sizeFM(zzz2044, cg, da))
new_primPlusInt1(zzz16630, Pos(zzz17170)) → new_primMinusNat0(zzz17170, zzz16630)
new_primPlusInt1(zzz16630, Neg(zzz17170)) → Neg(new_primPlusNat1(zzz16630, zzz17170))
new_primPlusNat1(Succ(zzz630), Zero) → Succ(zzz630)
new_primPlusNat1(Zero, Succ(zzz6400)) → Succ(zzz6400)
new_primPlusNat1(Succ(zzz630), Succ(zzz6400)) → Succ(Succ(new_primPlusNat1(zzz630, zzz6400)))
new_primPlusNat1(Zero, Zero) → Zero
new_primMinusNat0(Succ(zzz86900), Zero) → Pos(Succ(zzz86900))
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_primMinusNat0(Zero, Succ(zzz23200)) → Neg(Succ(zzz23200))
new_primMinusNat0(Succ(zzz86900), Succ(zzz23200)) → new_primMinusNat0(zzz86900, zzz23200)
new_primMulNat0(zzz7200) → new_primPlusNat3(Succ(new_primPlusNat3(new_primPlusNat2(zzz7200), zzz7200)), Succ(zzz7200))
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, zzz46200, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(zzz4420), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Zero), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch223(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz570), bb) → new_mkVBalBranch3MkVBalBranch225(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz44200, Succ(new_primPlusNat1(zzz570, zzz46200)), bb)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Succ(zzz6940), db) → new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, zzz6930, zzz6940, db)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Succ(zzz6940), db) → new_mkBalBranch(zzz687, zzz688, new_mkVBalBranch2(zzz692, Branch(zzz682, zzz683, Neg(Succ(zzz684)), zzz685, zzz686), zzz690, db), zzz691, ty_Bool, db)
new_mkBalBranch(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, new_primPlusInt2(new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz1925, cc, cd)
new_primPlusInt2(Pos(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt0(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_primPlusInt2(Neg(zzz19440), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_primPlusInt1(zzz19440, new_sizeFM(zzz2234, cc, cd))
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Zero)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz194200)), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Succ(zzz19420000)))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), cc, cd) → new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch50(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(Succ(Zero))), cc, cd) → new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch5(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch411(zzz2230, zzz2231, zzz1925, zzz2234, zzz2009, cc, cd) → new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), zzz2009, cc, cd)
new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_sizeFM(zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201000)), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20090), cc, cd)
new_mkBalBranch6MkBalBranch412(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201000)), Neg(zzz20090), cc, cd) → new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, new_primMulNat(zzz20090), cc, cd)
new_primMulNat(Succ(zzz100400)) → new_primPlusNat1(new_primMulNat0(zzz100400), Succ(zzz100400))
new_primMulNat(Zero) → Zero
new_mkBalBranch6MkBalBranch415(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2012, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, Branch(zzz22340, zzz22341, zzz22342, zzz22343, zzz22344), cc, cd) → new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_sizeFM(zzz22343, cc, cd), new_sizeFM(zzz22344, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, EmptyFM, cc, cd) → error([])
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Succ(zzz202100)), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Pos(Zero), Pos(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), cc, cd)
new_mkBalBranch6MkBalBranch017(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Neg(Succ(zzz202100)), Neg(zzz20220), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, new_primMulNat2(zzz20220), zzz202100, cc, cd)
new_primMulNat2(Succ(zzz202200)) → new_primPlusNat1(new_primPlusNat1(Zero, Succ(zzz202200)), Succ(zzz202200))
new_primMulNat2(Zero) → Zero
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20360), zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20360, zzz202100, cc, cd)
new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz202100, cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Zero)), zzz22340, zzz22341, new_mkBranch(Succ(Succ(Succ(Zero))), zzz2230, zzz2231, zzz1925, zzz22343, cc, cd), zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz2021000, zzz203500, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, Succ(zzz203500), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz2021000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, EmptyFM, zzz22344, cc, cd) → error([])
new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, Branch(zzz223430, zzz223431, zzz223432, zzz223433, zzz223434), zzz22344, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), zzz223430, zzz223431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), zzz2230, zzz2231, zzz1925, zzz223433, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), zzz22340, zzz22341, zzz223434, zzz22344, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd) → new_mkBalBranch6MkBalBranch018(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20310), cc, cd) → new_mkBalBranch6MkBalBranch019(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, zzz20310, cc, cd)
new_mkBalBranch6MkBalBranch0110(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Zero, cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, Succ(zzz20350), cc, cd) → new_mkBalBranch6MkBalBranch015(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz202100, zzz20350, cc, cd)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20330), cc, cd) → new_mkBalBranch6MkBalBranch010(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch016(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch011(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20320), cc, cd) → new_mkBalBranch6MkBalBranch012(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Succ(zzz20340), cc, cd) → new_mkBalBranch6MkBalBranch014(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, zzz20340, Zero, cc, cd)
new_mkBalBranch6MkBalBranch0111(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, Zero, cc, cd) → new_mkBalBranch6MkBalBranch013(zzz2230, zzz2231, zzz1925, zzz22340, zzz22341, zzz22342, zzz22343, zzz22344, cc, cd)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20130), cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20130, cc, cd)
new_mkBalBranch6MkBalBranch413(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, new_mkBalBranch6Size_l(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), new_mkBalBranch6Size_r(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Pos(Succ(zzz201900)), Pos(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Succ(zzz201900)), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch312(zzz2230, zzz2231, zzz1925, zzz2234, Neg(Zero), Neg(zzz20200), cc, cd) → new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, new_primMulNat(zzz20200), cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch314(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20300), cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz20300, Zero, cc, cd)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, EmptyFM, zzz2234, cc, cd) → error([])
new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, Branch(zzz19250, zzz19251, zzz19252, zzz19253, zzz19254), zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_sizeFM(zzz19254, cc, cd), new_sizeFM(zzz19253, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Neg(Zero), Pos(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Pos(Succ(zzz203700)), Neg(zzz20380), cc, cd) → new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, new_primMulNat2(zzz20380), cc, cd)
new_mkBalBranch6MkBalBranch116(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2046, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, EmptyFM, zzz2234, cc, cd) → error([])
new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, Branch(zzz192540, zzz192541, zzz192542, zzz192543, zzz192544), zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), zzz192540, zzz192541, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), zzz19250, zzz19251, zzz19253, zzz192543, cc, cd), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), zzz2230, zzz2231, zzz192544, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20520), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch119(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch1115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), zzz19250, zzz19251, zzz19253, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), zzz2230, zzz2231, zzz19254, zzz2234, cc, cd), cc, cd)
new_mkBalBranch6MkBalBranch115(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2045, cc, cd)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Succ(zzz20450), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz20450, cc, cd)
new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz2037000), Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2037000, zzz204500, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Succ(zzz204500), cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch118(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2050, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch1110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20530), cc, cd) → new_mkBalBranch6MkBalBranch1113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20530, Zero, cc, cd)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch117(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20490), cc, cd) → new_mkBalBranch6MkBalBranch1111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch113(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20480), cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz20480, cc, cd)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Zero, zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1112(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch110(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz203700, zzz2051, cc, cd) → new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz2051, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch111(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, Succ(zzz20510), zzz203700, cc, cd) → new_mkBalBranch6MkBalBranch1114(zzz2230, zzz2231, zzz19250, zzz19251, zzz19252, zzz19253, zzz19254, zzz2234, zzz20510, zzz203700, cc, cd)
new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Succ(Zero), zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch38(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2028, cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, zzz2028, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20280), zzz201900, cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz20280, zzz201900, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Succ(zzz202300), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz2019000, zzz202300, cc, cd)
new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2019000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch34(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch310(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd) → new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2023, cc, cd)
new_mkBalBranch6MkBalBranch311(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, Succ(zzz20230), cc, cd) → new_mkBalBranch6MkBalBranch30(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz20230, cc, cd)
new_mkBalBranch6MkBalBranch313(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2024, cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20290), cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch37(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20260), cc, cd) → new_mkBalBranch6MkBalBranch31(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch35(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch33(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch315(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20250), cc, cd) → new_mkBalBranch6MkBalBranch39(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz20250, cc, cd)
new_mkBalBranch6MkBalBranch36(zzz2230, zzz2231, zzz1925, zzz2234, zzz201900, zzz2027, cc, cd) → new_mkBalBranch6MkBalBranch32(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Zero, zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBalBranch6MkBalBranch45(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20140), cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch416(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20180), cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz20180, Zero, cc, cd)
new_mkBalBranch6MkBalBranch42(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch46(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20170), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch48(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2015, cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch414(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd) → new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2011, cc, cd)
new_mkBalBranch6MkBalBranch43(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, Succ(zzz20110), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz20110, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Zero, cc, cd) → new_mkBalBranch6MkBalBranch49(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Zero, cc, cd) → new_mkBalBranch6MkBalBranch44(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz2010000), Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz2010000, zzz201100, cc, cd)
new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, Zero, Succ(zzz201100), cc, cd) → new_mkBalBranch6MkBalBranch47(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkBalBranch6MkBalBranch40(zzz2230, zzz2231, zzz1925, zzz2234, zzz201000, zzz2016, cc, cd) → new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, zzz2016, zzz201000, cc, cd)
new_mkBalBranch6MkBalBranch41(zzz2230, zzz2231, zzz1925, zzz2234, Succ(zzz20160), zzz201000, cc, cd) → new_mkBalBranch6MkBalBranch410(zzz2230, zzz2231, zzz1925, zzz2234, zzz20160, zzz201000, cc, cd)
new_mkBalBranch6MkBalBranch51(zzz2230, zzz2231, zzz1925, zzz2234, cc, cd) → new_mkBranch(Zero, zzz2230, zzz2231, zzz1925, zzz2234, cc, cd)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz6930), Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch225(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, Zero, db) → new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db)
new_mkVBalBranch3MkVBalBranch226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, db) → new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, new_primMulNat1(zzz689), db)
new_primMulNat1(zzz44200) → new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200))
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz7460), db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Succ(zzz7460), db)
new_mkVBalBranch3MkVBalBranch1226(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Zero, db) → new_mkVBalBranch3MkVBalBranch1227(zzz682, zzz683, zzz684, zzz685, zzz686, zzz687, zzz688, zzz689, zzz690, zzz691, zzz692, Succ(zzz684), Zero, db)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1731, Branch(zzz1721, zzz1722, Neg(Succ(zzz1723)), zzz1724, zzz1725), Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Succ(zzz17320), Succ(zzz17330), dc) → new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, zzz17320, zzz17330, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Zero, dc) → new_mkVBalBranch3MkVBalBranch1240(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, dc)
new_mkVBalBranch3MkVBalBranch1227(zzz1721, zzz1722, zzz1723, zzz1724, zzz1725, zzz1726, zzz1727, zzz1728, zzz1729, zzz1730, zzz1731, Zero, Succ(zzz17330), dc) → new_mkBalBranch(zzz1721, zzz1722, zzz1724, new_mkVBalBranch2(zzz1731, zzz1725, Branch(zzz1726, zzz1727, Neg(Succ(zzz1728)), zzz1729, zzz1730), dc), ty_Bool, dc)
new_mkVBalBranch3MkVBalBranch229(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch224(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz440, zzz441, new_mkVBalBranch2(zzz41, Branch(zzz460, zzz461, Neg(Succ(zzz46200)), zzz463, zzz464), zzz443, bb), zzz444, ty_Bool, bb)
new_primPlusNat2(Succ(zzz72000)) → Succ(Succ(new_primPlusNat2(zzz72000)))
new_primPlusNat2(Zero) → Zero
new_primPlusNat3(zzz63, Zero) → Succ(zzz63)
new_primPlusNat3(zzz63, Succ(zzz640)) → Succ(Succ(new_primPlusNat1(zzz63, zzz640)))
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Pos(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1199(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1050), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_addToFM(zzz44, zzz41, bb) → new_addToFM_C2(zzz44, zzz41, bb)
new_addToFM_C2(Branch(True, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → Branch(True, new_addToFM0(zzz441, zzz41, bb), zzz442, zzz443, zzz444)
new_addToFM_C2(EmptyFM, zzz41, bb) → Branch(True, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_addToFM_C2(Branch(False, zzz441, zzz442, zzz443, zzz444), zzz41, bb) → new_mkBalBranch(False, zzz441, zzz443, new_addToFM_C2(zzz444, zzz41, bb), ty_Bool, bb)
new_emptyFM(h) → EmptyFM
new_addToFM0(zzz441, zzz41, bb) → zzz41
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1070), bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1200(zzz460, zzz461, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz41, Branch(zzz460, zzz461, Neg(Zero), zzz463, zzz464), Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(new_primPlusNat1(zzz560, zzz46200)), zzz44200, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Succ(zzz560), bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Succ(zzz44200)), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch234(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, zzz46200, zzz44200, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Neg(zzz4420), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz4420, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch222(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Pos(Zero), zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch235(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Pos(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Zero, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Zero), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch227(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, Succ(zzz44200), zzz443, zzz444, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, new_primPlusNat1(new_primMulNat0(zzz44200), Succ(zzz44200)), bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Succ(zzz1190), bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1236(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1302(zzz460, zzz461, zzz46200, zzz463, zzz464, zzz440, zzz441, zzz44200, zzz443, zzz444, zzz41, bb) → new_mkBalBranch(zzz460, zzz461, zzz463, new_mkVBalBranch2(zzz41, zzz464, Branch(zzz440, zzz441, Neg(Succ(zzz44200)), zzz443, zzz444), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Succ(zzz6040), dd) → new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, zzz6030, zzz6040, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz6030), Zero, dd) → new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd)
new_mkVBalBranch3MkVBalBranch234(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz6040), dd) → new_mkBalBranch(zzz597, zzz598, new_mkVBalBranch2(zzz602, Branch(zzz592, zzz593, Pos(Succ(zzz594)), zzz595, zzz596), zzz600, dd), zzz601, ty_Bool, dd)
new_mkVBalBranch3MkVBalBranch237(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, dd) → new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, new_primMulNat1(zzz599), dd)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Succ(zzz7100), Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1259(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, dd) → new_mkVBalBranch3MkVBalBranch1260(zzz592, zzz593, zzz594, zzz595, zzz596, zzz597, zzz598, zzz599, zzz600, zzz601, zzz602, Zero, Succ(zzz594), dd)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Succ(zzz17020), dg) → new_mkBalBranch(zzz1690, zzz1691, zzz1693, new_mkVBalBranch2(zzz1700, zzz1694, Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), dg), ty_Bool, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Succ(zzz17020), dg) → new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, zzz17010, zzz17020, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Zero, Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1260(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, Succ(zzz17010), Zero, dg) → new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg)
new_mkVBalBranch3MkVBalBranch1298(zzz1690, zzz1691, zzz1692, zzz1693, zzz1694, zzz1695, zzz1696, zzz1697, zzz1698, zzz1699, zzz1700, dg) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), True, zzz1700, Branch(zzz1690, zzz1691, Pos(Succ(zzz1692)), zzz1693, zzz1694), Branch(zzz1695, zzz1696, Pos(Succ(zzz1697)), zzz1698, zzz1699), ty_Bool, dg)
new_intersectFM_C2Gts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitGT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, EmptyFM, ca) → new_splitGT41(ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitGT22(zzz1928, zzz1929, zzz1930, Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitGT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_splitGT41(bb) → new_emptyFM(bb)
new_splitGT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitGT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz44
new_splitGT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitGT21(zzz41, zzz42, zzz43, zzz44, bb)
new_splitLT4(zzz41, zzz42, zzz43, zzz44, bb) → new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb)
new_splitLT21(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_splitLT0(Branch(False, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT23(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitLT23(zzz41, zzz42, zzz43, zzz44, bb) → zzz43
new_intersectFM_C2Lts0(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca)
new_splitLT22(zzz1928, zzz1929, zzz1930, zzz1931, ca) → new_mkVBalBranch1(zzz1928, zzz1930, new_splitLT5(zzz1931, ca), ca)
new_splitLT5(Branch(False, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT22(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_splitLT5(EmptyFM, ca) → new_splitLT41(ca)
new_splitLT5(Branch(True, zzz19311, zzz19312, zzz19313, zzz19314), ca) → new_splitLT21(zzz19311, zzz19312, zzz19313, zzz19314, ca)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch1(zzz41, EmptyFM, zzz886, bb) → new_addToFM1(zzz886, zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, zzz8862, zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8862, zzz8863, zzz8864, zzz41, new_primPlusNat1(new_primMulNat0(zzz43200), Succ(zzz43200)), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, zzz432, zzz433, zzz434), EmptyFM, bb) → new_addToFM1(Branch(zzz430, zzz431, zzz432, zzz433, zzz434), zzz41, bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb) → new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1164(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10100), bb) → new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10100), bb)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1166(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10630), bb) → new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Neg(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10800, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1315(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10630, Pos(zzz10800), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz108000), zzz10630, bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108000, zzz10630, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz106100, zzz1078000, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1078000), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz106100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1196(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1263(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1310(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108100)), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz108100, Zero, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Zero, bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10610), bb) → new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1165(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1146(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz107900, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1147(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1145(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107900)), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Neg(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1148(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1296(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Pos(zzz10780), bb) → new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz10780, bb)
new_mkVBalBranch3MkVBalBranch1193(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, Succ(zzz107800), bb) → new_mkVBalBranch3MkVBalBranch1194(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10610, zzz107800, bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1282(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10070), bb) → new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10070), bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10310), bb) → new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1207(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105800, bb)
new_mkVBalBranch3MkVBalBranch1209(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105800)), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1218(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Neg(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1208(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Pos(zzz10570), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz10570, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Succ(zzz105700), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, zzz105700, bb)
new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10310, Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Zero, bb) → new_mkVBalBranch3MkVBalBranch1234(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103100), Succ(zzz1057000), bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103100, zzz1057000, bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1271(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10330), bb) → new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Pos(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1272(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10330, Neg(zzz10590), bb) → new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10590, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1283(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105900), zzz10330, bb) → new_mkVBalBranch3MkVBalBranch1233(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105900, zzz10330, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1267(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1235(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1273(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106000)), bb) → new_mkVBalBranch3MkVBalBranch1211(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_addToFM1(zzz886, zzz41, bb) → new_addToFM_C1(zzz886, zzz41, bb)
new_addToFM_C1(Branch(False, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → Branch(False, new_addToFM0(zzz8861, zzz41, bb), zzz8862, zzz8863, zzz8864)
new_addToFM_C1(EmptyFM, zzz41, bb) → Branch(False, zzz41, Pos(Succ(Zero)), new_emptyFM(bb), new_emptyFM(bb))
new_addToFM_C1(Branch(True, zzz8861, zzz8862, zzz8863, zzz8864), zzz41, bb) → new_mkBalBranch(True, zzz8861, new_addToFM_C1(zzz8863, zzz41, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1204(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10060), bb) → new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10060), bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1206(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10250), bb) → new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Neg(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10530, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1195(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10250, Pos(zzz10530), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz105300), zzz10250, bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105300, zzz10250, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102300), Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102300, zzz1051000, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1051000), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1243(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1187(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105400)), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz105400, Zero, bb)
new_mkVBalBranch3MkVBalBranch1250(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Zero, bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10230), bb) → new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1205(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1141(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1139(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105200)), bb) → new_mkVBalBranch3MkVBalBranch1140(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz105200, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Pos(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz10510, bb)
new_mkVBalBranch3MkVBalBranch1304(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Neg(zzz10510), bb) → new_mkVBalBranch3MkVBalBranch1142(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1251(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, Succ(zzz105100), bb) → new_mkVBalBranch3MkVBalBranch1309(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10230, zzz105100, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Zero, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9750), bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz9750, zzz886200, bb)
new_mkVBalBranch3MkVBalBranch233(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch236(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz886200), bb)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz13230), cf) → new_mkBalBranch(zzz1316, zzz1317, new_mkVBalBranch1(zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), zzz1319, cf), zzz1320, ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Zero, cf) → new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13220), Succ(zzz13230), cf) → new_mkVBalBranch3MkVBalBranch236(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13220, zzz13230, cf)
new_mkVBalBranch3MkVBalBranch220(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1174(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(zzz13620), cf) → new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_primMulNat(zzz13620), cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1252(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13760), cf) → new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Pos(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz13820, cf)
new_mkVBalBranch3MkVBalBranch1299(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Neg(zzz13820), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1321, Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Succ(zzz138200), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, zzz138200, cf)
new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13760, Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Zero, cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, Zero, cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz137600), Succ(zzz1382000), cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz137600, zzz1382000, cf)
new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkVBalBranch3MkVBalBranch1192(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf) → new_mkBalBranch(zzz1311, zzz1312, zzz1314, new_mkVBalBranch1(zzz1321, zzz1315, Branch(zzz1316, zzz1317, Pos(Succ(zzz1318)), zzz1319, zzz1320), cf), ty_Bool, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz138300, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1300(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138300)), cf) → new_mkVBalBranch3MkVBalBranch1191(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Zero, cf) → new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1190(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz13770), cf) → new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, new_sizeFM(Branch(zzz1311, zzz1312, Pos(Succ(zzz1313)), zzz1314, zzz1315), ty_Bool, cf), cf)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Pos(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1183(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13770, Neg(zzz13840), cf) → new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz13840, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1184(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Succ(zzz138400), zzz13770, cf) → new_mkVBalBranch3MkVBalBranch1264(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138400, zzz13770, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1156(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, zzz138500, Zero, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Neg(Zero), cf) → new_mkVBalBranch3MkVBalBranch1155(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch1153(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, Pos(Succ(zzz138500)), cf) → new_mkVBalBranch3MkVBalBranch1154(zzz1311, zzz1312, zzz1313, zzz1314, zzz1315, zzz1316, zzz1317, zzz1318, zzz1319, zzz1320, zzz1321, cf)
new_mkVBalBranch3MkVBalBranch238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1262(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(zzz10090), bb) → new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10090), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1266(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10410), bb) → new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Pos(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1313(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10410, Neg(zzz10720), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10720, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz107200), zzz10410, bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107200, zzz10410, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz103900), Succ(zzz1070000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz103900, zzz1070000, bb)
new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(zzz88620), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1245(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz107300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107300)), bb) → new_mkVBalBranch3MkVBalBranch1169(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1307(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Zero, bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1265(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Succ(zzz10390), bb) → new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Neg(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1253(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Pos(zzz10700), bb) → new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz10700, bb)
new_mkVBalBranch3MkVBalBranch1254(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, Succ(zzz107000), bb) → new_mkVBalBranch3MkVBalBranch1303(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, zzz10390, zzz107000, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1244(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Neg(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1255(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1270(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Pos(Succ(zzz107100)), bb) → new_mkVBalBranch3MkVBalBranch1311(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, Zero, zzz107100, bb)
new_mkVBalBranch3MkVBalBranch221(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1175(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10110), bb) → new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10110), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1171(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10760), bb) → new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Pos(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1172(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10760, Neg(zzz10840), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10840, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108400), zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108400, zzz10760, bb)
new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10760, bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz107400), Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz107400, zzz1082000, bb)
new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1082000), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1287(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1249(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108500)), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108500, Zero, bb)
new_mkVBalBranch3MkVBalBranch1173(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Zero, bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1258(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10740), bb) → new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, new_sizeFM(Branch(zzz430, zzz431, Pos(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Neg(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1212(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Pos(zzz10820), bb) → new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz10820, bb)
new_mkVBalBranch3MkVBalBranch1213(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, Succ(zzz108200), bb) → new_mkVBalBranch3MkVBalBranch1248(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10740, zzz108200, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1214(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1228(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108300)), bb) → new_mkVBalBranch3MkVBalBranch1229(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108300, bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1281(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(zzz10050), bb) → new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10050), bb)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10210), bb) → new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1275(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz105000, Zero, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1276(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz105000)), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1294(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Pos(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1219(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10210, Neg(zzz10490), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10490, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz104900), zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz104900, zzz10210, bb)
new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz10210, bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1220(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz101900), Succ(zzz1047000), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz101900, zzz1047000, bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1308(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz10190), bb) → new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Pos(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz10470, bb)
new_mkVBalBranch3MkVBalBranch1222(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Neg(zzz10470), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1223(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, Succ(zzz104700), bb) → new_mkVBalBranch3MkVBalBranch1305(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz10190, zzz104700, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1224(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1269(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1268(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104800)), bb) → new_mkVBalBranch3MkVBalBranch1221(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Zero, zzz104800, bb)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1280(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10040), bb) → new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10040), bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1290(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10170), bb) → new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Pos(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1284(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10170, Neg(zzz10450), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10450, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz104500), zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104500, zzz10170, bb)
new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10170, bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz101500), Succ(zzz1043000), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz101500, zzz1043000, bb)
new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1186(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz104600, Zero, bb)
new_mkVBalBranch3MkVBalBranch1306(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104600)), bb) → new_mkVBalBranch3MkVBalBranch1143(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Zero, bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1289(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10150), bb) → new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, new_sizeFM(Branch(zzz430, zzz431, Pos(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Neg(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1277(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Pos(zzz10430), bb) → new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz10430, bb)
new_mkVBalBranch3MkVBalBranch1278(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, Succ(zzz104300), bb) → new_mkVBalBranch3MkVBalBranch1286(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10150, zzz104300, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1285(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz104400, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1279(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1301(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz104400)), bb) → new_mkVBalBranch3MkVBalBranch1185(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(zzz88620), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, Succ(zzz886200), Zero, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Pos(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Succ(zzz886200), zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Succ(zzz886200)), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkVBalBranch3MkVBalBranch232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz886200, zzz8863, zzz8864, zzz41, zzz886200, zzz9770, bb)
new_mkVBalBranch3MkVBalBranch230(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864, zzz41, Succ(zzz9770), bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Succ(zzz13370), ce) → new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13360, zzz13370, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13360), Zero, ce) → new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch232(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz13370), ce) → new_mkBalBranch(zzz1330, zzz1331, new_mkVBalBranch1(zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), zzz1333, ce), zzz1334, ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch219(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1144(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(zzz13630), ce) → new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_primMulNat(zzz13630), ce)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13780), ce) → new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1256(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138700)), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz138700, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1246(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz1335, Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkBalBranch(zzz1325, zzz1326, zzz1328, new_mkVBalBranch1(zzz1335, zzz1329, Branch(zzz1330, zzz1331, Neg(Succ(zzz1332)), zzz1333, zzz1334), ce), ty_Bool, ce)
new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce) → new_mkVBalBranch3MkVBalBranch1288(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Neg(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1257(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Pos(zzz13860), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz13860, ce)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, Succ(zzz138600), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13780, zzz138600, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Zero, ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Zero, ce) → new_mkVBalBranch3MkVBalBranch1247(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz137800), Succ(zzz1386000), ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz137800, zzz1386000, ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Zero, ce) → new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1316(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz13790), ce) → new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, new_sizeFM(Branch(zzz1325, zzz1326, Neg(Succ(zzz1327)), zzz1328, zzz1329), ty_Bool, ce), ce)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Neg(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13880, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1197(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz13790, Pos(zzz13880), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1198(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Succ(zzz138800), zzz13790, ce) → new_mkVBalBranch3MkVBalBranch1291(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138800, zzz13790, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1160(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, zzz138900, Zero, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Neg(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Succ(zzz138900)), ce) → new_mkVBalBranch3MkVBalBranch1158(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1157(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, Pos(Zero), ce) → new_mkVBalBranch3MkVBalBranch1159(zzz1325, zzz1326, zzz1327, zzz1328, zzz1329, zzz1330, zzz1331, zzz1332, zzz1333, zzz1334, zzz1335, ce)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1176(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10130), bb) → new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10130), bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10300), bb) → new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1178(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1314(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109300)), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109300, Zero, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1170(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Neg(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10920, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1210(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10300, Pos(zzz10920), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz109200), zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz109200, zzz10300, bb)
new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10300, bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102900, zzz1090000, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1090000), bb) → new_mkVBalBranch3MkVBalBranch1202(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102900), Zero, bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1177(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10290), bb) → new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Pos(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz10900, bb)
new_mkVBalBranch3MkVBalBranch1231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Neg(zzz10900), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1232(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, Succ(zzz109000), bb) → new_mkVBalBranch3MkVBalBranch1201(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10290, zzz109000, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1180(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz109100, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1181(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1179(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz109100)), bb) → new_mkVBalBranch3MkVBalBranch1182(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch231(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz88620, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz8860, zzz8861, new_mkVBalBranch1(zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), zzz8863, bb), zzz8864, ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1237(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10120), bb) → new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10120), bb)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1238(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10270), bb) → new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Pos(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz10860, bb)
new_mkVBalBranch3MkVBalBranch1274(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Neg(zzz10860), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Succ(zzz108600), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, zzz108600, bb)
new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10270, Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz102700, zzz1086000, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1086000), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz102700), Zero, bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1295(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Pos(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1163(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1297(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108700)), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz108700, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1239(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10280), bb) → new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, new_sizeFM(Branch(zzz430, zzz431, Neg(Succ(zzz43200)), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Neg(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10880, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1241(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10280, Pos(zzz10880), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1203(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz108800), zzz10280, bb) → new_mkVBalBranch3MkVBalBranch1162(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108800, zzz10280, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1168(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1167(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1242(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz108900)), bb) → new_mkVBalBranch3MkVBalBranch1161(zzz430, zzz431, zzz43200, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz108900, Zero, bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1215(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(zzz10080), bb) → new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_primMulNat(zzz10080), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1217(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10370), bb) → new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Neg(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10670, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1292(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10370, Pos(zzz10670), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBalBranch(zzz430, zzz431, zzz433, new_mkVBalBranch1(zzz41, zzz434, Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), bb), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz106700), zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106700, zzz10370, bb)
new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz10370, bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, Zero, bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz103500), Succ(zzz1065000), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz103500, zzz1065000, bb)
new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), False, zzz41, Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), Branch(zzz8860, zzz8861, Neg(Zero), zzz8863, zzz8864), ty_Bool, bb)
new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb) → new_mkVBalBranch3MkVBalBranch1312(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1189(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106800)), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz106800, Zero, bb)
new_mkVBalBranch3MkVBalBranch1293(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Zero, bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, bb) → new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1216(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Succ(zzz10350), bb) → new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, new_sizeFM(Branch(zzz430, zzz431, Neg(Zero), zzz433, zzz434), ty_Bool, bb), bb)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Neg(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1261(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Pos(zzz10650), bb) → new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz10650, bb)
new_mkVBalBranch3MkVBalBranch1225(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, Succ(zzz106500), bb) → new_mkVBalBranch3MkVBalBranch1188(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, zzz10350, zzz106500, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1152(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Succ(zzz106600)), bb) → new_mkVBalBranch3MkVBalBranch1150(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Zero, zzz106600, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Neg(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_mkVBalBranch3MkVBalBranch1149(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, Pos(Zero), bb) → new_mkVBalBranch3MkVBalBranch1151(zzz430, zzz431, zzz433, zzz434, zzz8860, zzz8861, zzz8863, zzz8864, zzz41, bb)
new_splitLT41(bb) → new_emptyFM(bb)
new_splitLT3(zzz41, zzz42, zzz43, bb) → new_mkVBalBranch1(zzz41, zzz43, new_splitLT41(bb), bb)
new_intersectFM_C2Gts(zzz510, zzz511, zzz512, zzz513, be) → new_splitGT24(zzz510, zzz511, zzz512, zzz513, be)
new_splitGT24(zzz510, zzz511, zzz512, zzz513, be) → new_mkVBalBranch2(zzz510, new_splitGT0(zzz512, be), zzz513, be)
new_splitGT0(EmptyFM, be) → new_splitGT40(be)
new_splitGT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitGT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_intersectFM_C2Lts(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT24(zzz510, zzz511, zzz512, zzz513, be)
new_splitLT24(zzz510, zzz511, zzz512, zzz513, be) → new_splitLT0(zzz512, be)
new_splitLT0(Branch(True, zzz5121, zzz5122, zzz5123, zzz5124), be) → new_splitLT24(zzz5121, zzz5122, zzz5123, zzz5124, be)
new_splitLT0(EmptyFM, be) → new_splitLT40(be)
new_splitLT40(bb) → new_emptyFM(bb)

The set Q consists of the following terms:

new_mkBalBranch6MkBalBranch32(x0, x1, x2, x3, x4, x5)
new_splitGT0(Branch(True, x0, x1, x2, x3), x4)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Zero, x5, x6)
new_primPlusInt(Neg(x0), x1, x2, x3, x4, x5)
new_splitLT5(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1155(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch2(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_splitLT41(x0)
new_primMulNat0(x0)
new_primPlusNat2(Succ(x0))
new_intersectFM_C2Gts(x0, x1, x2, x3, x4)
new_primMinusNat0(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_splitLT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1269(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1294(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_splitLT22(x0, x1, x2, x3, x4)
new_splitGT1(x0, x1, x2, x3)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1148(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1206(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch114(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_primPlusNat1(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1187(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_splitLT24(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1247(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(True, x3, x4, x5, x6), x7)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusNat3(x0, Succ(x1))
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Succ(x4)), x5, x6)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1196(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1211(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1170(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_splitLT40(x0)
new_primMinusNat0(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1202(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch1111(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1285(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_primPlusInt2(Neg(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch31(x0, x1, Branch(x2, x3, x4, x5, x6), x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch115(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_primPlusNat1(Succ(x0), Succ(x1))
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1223(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Succ(x7), x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_primMulNat(Zero)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1144(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1284(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch48(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Zero)), x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1311(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_primMinusNat0(Succ(x0), Succ(x1))
new_primPlusNat2(Zero)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1154(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_addToFM_C2(EmptyFM, x0, x1)
new_primMulNat2(Succ(x0))
new_mkVBalBranch3MkVBalBranch1200(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch2(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch1244(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1189(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_primPlusInt1(x0, Neg(x1))
new_mkBalBranch6MkBalBranch013(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1256(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1183(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1254(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1298(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch41(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1315(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_primPlusNat3(x0, Zero)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1218(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch016(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Succ(x4), x5, x6, x7)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Zero, x10)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_sizeFM(EmptyFM, x0, x1)
new_mkVBalBranch3MkVBalBranch1165(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1216(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1164(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_primMulNat(Succ(x0))
new_mkVBalBranch3MkVBalBranch1293(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1213(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkBalBranch6MkBalBranch45(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_mkVBalBranch3MkVBalBranch1173(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primPlusNat1(Zero, Zero)
new_mkVBalBranch3MkVBalBranch1243(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1245(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1195(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1208(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1160(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkVBalBranch3MkVBalBranch1167(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1279(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_intersectFM_C2Lts0(x0, x1, x2, x3, x4)
new_addToFM_C1(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1207(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Succ(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_primMulNat1(x0)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch44(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1249(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1159(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1140(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1176(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_primPlusInt1(x0, Pos(x1))
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_splitLT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1163(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1296(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_primPlusInt(Pos(x0), x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1181(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch37(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Succ(x4)))), x5, x6)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Succ(x11), x12)
new_intersectFM_C2Gts0(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch38(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch1112(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11, x12)
new_mkVBalBranch3MkVBalBranch1142(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkBalBranch6MkBalBranch011(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_splitLT5(Branch(True, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1179(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch35(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1246(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkVBalBranch3MkVBalBranch1230(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch1255(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1151(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1251(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1192(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1186(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1233(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch3MkVBalBranch1143(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1158(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkBalBranch6MkBalBranch42(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkBalBranch6MkBalBranch012(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkBalBranch6MkBalBranch0111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch116(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_primPlusInt0(x0, Pos(x1))
new_primPlusInt2(Pos(x0), x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1147(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1205(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1215(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch3MkVBalBranch1281(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1253(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_addToFM0(x0, x1, x2)
new_splitLT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1261(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, EmptyFM, x6, x7, x8)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1204(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkVBalBranch3MkVBalBranch1232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1303(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch414(x0, x1, x2, x3, x4, x5, x6, x7)
new_primPlusNat1(Succ(x0), Zero)
new_mkVBalBranch3MkVBalBranch238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch227(x0, x1, x2, x3, x4, x5, x6, Zero, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1166(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1270(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Neg(Zero), x4, x5)
new_mkVBalBranch3MkVBalBranch1161(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1283(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch39(x0, x1, x2, x3, Zero, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkVBalBranch1(x0, EmptyFM, x1, x2)
new_mkVBalBranch3MkVBalBranch1272(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1304(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1199(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1156(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Zero, x12)
new_mkBalBranch6MkBalBranch118(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1214(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1300(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Neg(x9), x10, x11)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch232(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch222(x0, x1, x2, x3, x4, x5, x6, Neg(x7), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1197(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1309(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, Zero, x9)
new_mkBalBranch6MkBalBranch411(x0, x1, x2, x3, x4, x5, x6)
new_mkVBalBranch3MkVBalBranch1168(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch47(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Pos(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1149(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Succ(x7)), x8, x9), x10)
new_mkBalBranch6MkBalBranch019(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1141(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_addToFM_C1(EmptyFM, x0, x1)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, Pos(Succ(Succ(Zero))), x4, x5)
new_splitLT0(EmptyFM, x0)
new_splitLT3(x0, x1, x2, x3)
new_splitLT5(EmptyFM, x0)
new_mkVBalBranch3MkVBalBranch1290(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch220(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch235(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1286(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1193(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch413(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1231(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1171(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkBalBranch6MkBalBranch119(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1237(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_mkVBalBranch3MkVBalBranch1203(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1278(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1282(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(x9), x10)
new_mkBalBranch6MkBalBranch314(x0, x1, x2, x3, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1209(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_splitLT21(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Succ(x8)), Pos(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_addToFM1(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1289(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1316(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1314(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Zero, x11)
new_mkVBalBranch3MkVBalBranch1299(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkBalBranch6MkBalBranch018(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_addToFM_C2(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Pos(Zero), x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1265(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1198(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_mkVBalBranch3MkVBalBranch1182(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_primPlusInt0(x0, Neg(x1))
new_mkBalBranch6MkBalBranch416(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(EmptyFM, x0)
new_mkVBalBranch1(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6)
new_mkVBalBranch3MkVBalBranch234(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkBalBranch6MkBalBranch0110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1257(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1306(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1302(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1292(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(x10), x11)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1191(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1259(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1305(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Zero, x10)
new_primMinusNat0(Zero, Succ(x0))
new_mkBalBranch6MkBalBranch1110(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1221(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_splitGT23(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1274(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkBalBranch6MkBalBranch36(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch31(x0, x1, EmptyFM, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1310(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch2(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch1212(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1222(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch113(x0, x1, x2, x3, x4, x5, x6, x7, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1260(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1172(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitGT24(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch1115(x0, x1, x2, x3, x4, x5, Branch(x6, x7, x8, x9, x10), x11, x12, x13)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Neg(x12), x13)
new_mkVBalBranch3MkVBalBranch1184(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12, x13)
new_splitGT4(x0, x1, x2, x3, x4)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch43(x0, x1, x2, x3, x4, Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1267(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Succ(x11)), x12)
new_splitGT41(x0)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(Zero), x11)
new_mkVBalBranch3MkVBalBranch1210(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkVBalBranch3MkVBalBranch1288(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1308(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1157(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch1201(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1217(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch236(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1258(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1262(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkBalBranch6MkBalBranch313(x0, x1, x2, x3, x4, x5, x6, x7)
new_splitGT40(x0)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1188(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1152(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_splitGT22(x0, x1, x2, EmptyFM, x3)
new_mkVBalBranch3MkVBalBranch226(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1275(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1150(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch410(x0, x1, x2, x3, Zero, Zero, x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1241(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_mkBalBranch6MkBalBranch311(x0, x1, x2, x3, x4, Succ(x5), x6, x7)
new_mkBalBranch6MkBalBranch51(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch014(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9, x10)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_mkBalBranch6MkBalBranch111(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10, x11)
new_mkVBalBranch3MkVBalBranch230(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Succ(x10), x11)
new_emptyFM(x0)
new_mkBalBranch6MkBalBranch310(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Zero), x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch117(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1178(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkBalBranch6MkBalBranch46(x0, x1, x2, x3, Succ(x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Succ(x3)), x4, x5), Branch(x6, x7, x8, x9, x10), x11)
new_mkBalBranch6MkBalBranch1113(x0, x1, x2, x3, x4, x5, x6, x7, x8, Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1263(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1145(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_splitGT22(x0, x1, x2, Branch(False, x3, x4, x5, x6), x7)
new_mkVBalBranch3MkVBalBranch1291(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Succ(x12), x13)
new_mkVBalBranch3MkVBalBranch1238(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Succ(x7)), x8, x9), x10)
new_addToFM_C1(Branch(False, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1177(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1194(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1273(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1185(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Pos(Succ(x4)), Neg(x5), x6, x7)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Succ(x4)), Pos(x5), x6, x7)
new_mkVBalBranch3MkVBalBranch1239(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Succ(x9)), x10)
new_mkBalBranch6MkBalBranch33(x0, x1, x2, x3, x4, x5)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Succ(x11), x12)
new_mkBalBranch6MkBalBranch1114(x0, x1, x2, x3, x4, x5, x6, x7, Succ(x8), Succ(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1297(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_intersectFM_C2Lts(x0, x1, x2, x3, x4)
new_mkVBalBranch3MkVBalBranch1229(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch1(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Pos(Zero), x7, x8), x9)
new_mkVBalBranch1(x0, Branch(x1, x2, Pos(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkVBalBranch3MkVBalBranch233(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch315(x0, x1, x2, x3, Zero, x4, x5)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Succ(x4)), Pos(x5), x6, x7)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Pos(Zero), Neg(x4), x5, x6)
new_mkBalBranch6MkBalBranch412(x0, x1, x2, x3, Neg(Zero), Pos(x4), x5, x6)
new_mkVBalBranch3MkVBalBranch1295(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkVBalBranch3MkVBalBranch1228(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Zero), x10)
new_mkVBalBranch3MkVBalBranch1277(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch225(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkVBalBranch3MkVBalBranch1268(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Zero), x10)
new_mkBalBranch6MkBalBranch312(x0, x1, x2, x3, Neg(Zero), Neg(x4), x5, x6)
new_addToFM(x0, x1, x2)
new_mkVBalBranch3MkVBalBranch1312(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1307(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Succ(x11)), x12)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Neg(Succ(x7)), x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkBalBranch6MkBalBranch415(x0, x1, x2, x3, x4, x5, x6, x7)
new_mkVBalBranch3MkVBalBranch1301(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(Zero), x9)
new_primMulNat2(Zero)
new_mkVBalBranch3MkVBalBranch1287(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch017(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Succ(x8)), Neg(x9), x10, x11)
new_mkVBalBranch3MkVBalBranch1162(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1280(x0, x1, x2, x3, x4, x5, x6, x7, x8, Pos(x9), x10)
new_mkVBalBranch2(x0, Branch(x1, x2, Neg(Zero), x3, x4), Branch(x5, x6, Neg(Zero), x7, x8), x9)
new_mkBalBranch6MkBalBranch34(x0, x1, x2, x3, x4, x5)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, Succ(x4), Zero, x5, x6)
new_mkVBalBranch3MkVBalBranch1242(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Neg(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1276(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(Succ(x10)), x11)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), Zero, x11)
new_splitGT0(Branch(False, x0, x1, x2, x3), x4)
new_mkVBalBranch3MkVBalBranch1146(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Succ(x10), x11, x12)
new_mkVBalBranch3MkVBalBranch1266(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), x12)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
new_mkVBalBranch3MkVBalBranch1190(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1139(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Zero), x9)
new_mkVBalBranch3MkVBalBranch1175(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Pos(x10), x11)
new_mkBalBranch6MkBalBranch49(x0, x1, x2, EmptyFM, x3, x4)
new_mkVBalBranch3MkVBalBranch1250(x0, x1, x2, x3, x4, x5, x6, x7, x8, Neg(Succ(x9)), x10)
new_mkVBalBranch3MkVBalBranch1224(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_addToFM_C2(Branch(True, x0, x1, x2, x3), x4, x5)
new_mkVBalBranch3MkVBalBranch1180(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, x10, x11)
new_mkVBalBranch3MkVBalBranch1219(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Neg(x11), x12)
new_mkVBalBranch3MkVBalBranch1264(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Succ(x11), Zero, x12)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Neg(Zero), Pos(x8), x9, x10)
new_mkBalBranch6MkBalBranch112(x0, x1, x2, x3, x4, x5, x6, x7, Pos(Zero), Neg(x8), x9, x10)
new_mkVBalBranch3MkVBalBranch1248(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, Zero, Succ(x10), x11)
new_mkVBalBranch3MkVBalBranch1271(x0, x1, x2, x3, x4, x5, x6, x7, x8, Zero, x9)
new_mkVBalBranch3MkVBalBranch1252(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, x11)
new_mkVBalBranch3MkVBalBranch1227(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Zero, Succ(x11), x12)
new_mkVBalBranch3MkVBalBranch1313(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, Pos(x12), x13)
new_mkVBalBranch3MkVBalBranch1169(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1240(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)
new_mkVBalBranch3MkVBalBranch1153(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(Zero), x11)
new_mkVBalBranch3MkVBalBranch223(x0, x1, x2, x3, x4, x5, x6, Pos(x7), x8, x9, x10, Zero, x11)
new_mkBalBranch6MkBalBranch015(x0, x1, x2, x3, x4, x5, x6, x7, Zero, Zero, x8, x9)
new_mkVBalBranch3MkVBalBranch1174(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, Pos(x11), x12)
new_splitLT0(Branch(True, x0, x1, x2, x3), x4)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: